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21122102212020 = 223252112087266477
BaseRepresentation
bin1001100110101110111110…
…11001100011010110110100
32202210020211121201222101200
410303113133121203112310
510232031031131241040
6112531205414452500
74310010245322225
oct463273731432664
982706747658350
1021122102212020
116803919057057
122451731364130
13ba2a6214a574
1453045acb124c
1526967ae05630
hex1335df6635b4

21122102212020 has 144 divisors (see below), whose sum is σ = 64405114720128. Its totient is φ = 5603158874880.

The previous prime is 21122102211983. The next prime is 21122102212027. The reversal of 21122102212020 is 2021220122112.

It is a happy number.

21122102212020 is a `hidden beast` number, since 21 + 1 + 221 + 0 + 221 + 202 + 0 = 666.

It is a super-2 number, since 2×211221022120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21122102211984 and 21122102212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122102212027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79131022 + ... + 79397498.

It is an arithmetic number, because the mean of its divisors is an integer number (447257741112).

Almost surely, 221122102212020 is an apocalyptic number.

21122102212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122102212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32202557360064).

21122102212020 is an abundant number, since it is smaller than the sum of its proper divisors (43283012508108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21122102212020 is a wasteful number, since it uses less digits than its factorization.

21122102212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268790 (or 268785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21122102212020 its reverse (2021220122112), we get a palindrome (23143322334132).

The spelling of 21122102212020 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2087 2110 2532 3165 3798 4174 4220 6261 6330 7596 8348 9495 10435 12522 12660 18783 18990 20870 25044 31305 37566 37980 41740 62610 75132 93915 125220 187830 266477 375660 440357 532954 799431 880714 1065908 1321071 1332385 1598862 1761428 2201785 2398293 2642142 2664770 3197724 3963213 3997155 4403570 4796586 5284284 5329540 6605355 7926426 7994310 8807140 9593172 11991465 13210710 15852852 15988620 19816065 23982930 26421420 39632130 47965860 56226647 79264260 112453294 168679941 224906588 281133235 337359882 506039823 556137499 562266470 674719764 843399705 1012079646 1112274998 1124532940 1668412497 1686799410 2024159292 2224549996 2530199115 2780687495 3336824994 3373598820 5005237491 5060398230 5561374990 6673649988 8342062485 10010474982 10120796460 11122749980 16684124970 20020949964 25026187455 33368249940 50052374910 100104749820 117345012289 234690024578 352035036867 469380049156 586725061445 704070073734 1056105110601 1173450122890 1408140147468 1760175184335 2112210221202 2346900245780 3520350368670 4224420442404 5280525553005 7040700737340 10561051106010 21122102212020