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21211222101020 = 22571923933332279
BaseRepresentation
bin1001101001010100111110…
…10110111100110000011100
32210002202212112112102012022
410310222133112330300130
510240011040324213040
6113040144555155312
74316313600014420
oct464523726746034
983082775472168
1021211222101020
1168386a099a786
122466a63445b38
13bab29581abb3
145348b2d4cb80
1526bb44d836b5
hex134a9f5bcc1c

21211222101020 has 96 divisors (see below), whose sum is σ = 53608654310400. Its totient is φ = 6886778955264.

The previous prime is 21211222101019. The next prime is 21211222101049. The reversal of 21211222101020 is 2010122211212.

It is a self number, because there is not a number n which added to its sum of digits gives 21211222101020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699241 + ... + 8031519.

It is an arithmetic number, because the mean of its divisors is an integer number (558423482400).

Almost surely, 221211222101020 is an apocalyptic number.

21211222101020 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 21211222101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804327155200).

21211222101020 is an abundant number, since it is smaller than the sum of its proper divisors (32397432209380).

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

21211222101020 is a wasteful number, since it uses less digits than its factorization.

21211222101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334707 (or 3334705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21211222101020 its reverse (2010122211212), we get a palindrome (23221344312232).

The spelling of 21211222101020 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2393 2660 4786 9572 11965 16751 23930 33502 45467 47860 67004 83755 90934 167510 181868 227335 318269 335020 454670 636538 909340 1273076 1591345 3182690 3332279 6365380 6664558 13329116 16661395 23325953 33322790 46651906 63313301 66645580 93303812 116629765 126626602 233259530 253253204 316566505 443193107 466519060 633133010 886386214 1266266020 1772772428 2215965535 4431931070 7974143647 8863862140 15948287294 31896574588 39870718235 55819005529 79741436470 111638011058 151508729293 159482872940 223276022116 279095027645 303017458586 558190055290 606034917172 757543646465 1060561105051 1116380110580 1515087292930 2121122210102 3030174585860 4242244420204 5302805525255 10605611050510 21211222101020