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21101212020 = 22357216014483
BaseRepresentation
bin10011101001101110…
…101111000101110100
32000110120122122011010
4103221232233011310
5321203402241040
613405504112220
71344623225400
oct235156570564
960416578133
1021101212020
118a490a19a9
12410a905670
131cb3891195
14104265c100
15837790e80
hex4e9baf174

21101212020 has 144 divisors (see below), whose sum is σ = 68787931968. Its totient is φ = 4819046400.

The previous prime is 21101211997. The next prime is 21101212031. The reversal of 21101212020 is 2021210112.

It is a super-2 number, since 2×211012120202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21101211987 and 21101212005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4704699 + ... + 4709181.

It is an arithmetic number, because the mean of its divisors is an integer number (477693972).

Almost surely, 221101212020 is an apocalyptic number.

21101212020 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 21101212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393965984).

21101212020 is an abundant number, since it is smaller than the sum of its proper divisors (47686719948).

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

21101212020 is a wasteful number, since it uses less digits than its factorization.

21101212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21101212020 its reverse (2021210112), we get a palindrome (23122422132).

The spelling of 21101212020 in words is "twenty-one billion, one hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1601 2940 3202 4483 4803 6404 8005 8966 9606 11207 13449 16010 17932 19212 22414 22415 24015 26898 31381 32020 33621 44828 44830 48030 53796 56035 62762 67242 67245 78449 89660 94143 96060 112070 125524 134484 134490 156898 156905 168105 188286 219667 224140 235347 268980 313796 313810 336210 376572 392245 439334 470694 470715 627620 659001 672420 784490 878668 941388 941430 1098335 1176735 1318002 1568980 1882860 2196670 2353470 2636004 3295005 4393340 4706940 6590010 7177283 13180020 14354566 21531849 28709132 35886415 43063698 50240981 71772830 86127396 100481962 107659245 143545660 150722943 200963924 215318490 251204905 301445886 351686867 430636980 502409810 602891772 703373734 753614715 1004819620 1055060601 1406747468 1507229430 1758434335 2110121202 3014458860 3516868670 4220242404 5275303005 7033737340 10550606010 21101212020