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1213310221020 = 22325411071536497
BaseRepresentation
bin10001101001111110111…
…011001011101011011100
311021222202200020101200100
4101221332323023223130
5124334324404033040
62325215332501100
7153441646500102
oct21517673135334
94258680211610
101213310221020
1142861aa97157
1217719317a790
138a551025831
1442a20167c72
15218634b9b30
hex11a7eecbadc

1213310221020 has 144 divisors (see below), whose sum is σ = 3805376990688. Its totient is φ = 312707665920.

The previous prime is 1213310220971. The next prime is 1213310221021. The reversal of 1213310221020 is 201220133121.

1213310221020 is a `hidden beast` number, since 121 + 3 + 310 + 2 + 210 + 20 = 666.

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 = 1213310220984 and 1213310221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213310221021) 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, 21412 + ... + 1557908.

It is an arithmetic number, because the mean of its divisors is an integer number (26426229102).

Almost surely, 21213310221020 is an apocalyptic number.

1213310221020 is a gapful number since it is divisible by the number (10) 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 1213310221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902688495344).

1213310221020 is an abundant number, since it is smaller than the sum of its proper divisors (2592066769668).

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

1213310221020 is a wasteful number, since it uses less digits than its factorization.

1213310221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536660 (or 1536655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1213310221020 its reverse (201220133121), we get a palindrome (1414530354141).

The spelling of 1213310221020 in words is "one trillion, two hundred thirteen billion, three hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 107 123 164 180 205 214 246 321 369 410 428 492 535 615 642 738 820 963 1070 1230 1284 1476 1605 1845 1926 2140 2460 3210 3690 3852 4387 4815 6420 7380 8774 9630 13161 17548 19260 21935 26322 39483 43870 52644 65805 78966 87740 131610 157932 197415 263220 394830 789660 1536497 3072994 4609491 6145988 7682485 9218982 13828473 15364970 18437964 23047455 27656946 30729940 46094910 55313892 62996377 69142365 92189820 125992754 138284730 164405179 188989131 251985508 276569460 314981885 328810358 377978262 493215537 566967393 629963770 657620716 755956524 822025895 944945655 986431074 1133934786 1259927540 1479646611 1644051790 1889891310 1972862148 2267869572 2466077685 2834836965 2959293222 3288103580 3779782620 4932155370 5669673930 5918586444 6740612339 7398233055 9864310740 11339347860 13481224678 14796466110 20221837017 26962449356 29592932220 33703061695 40443674034 60665511051 67406123390 80887348068 101109185085 121331022102 134812246780 202218370170 242662044204 303327555255 404436740340 606655110510 1213310221020