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21200102110012 = 22753137157664177
BaseRepresentation
bin1001101001000000010001…
…00011100011001100111100
32210001201011120022100020111
410310200020203203030330
510234320302120010022
6113031105323155404
74315441202445520
oct464401043431474
983051146270214
1021200102110012
116833a04a56971
12246487b375b64
13baa212aa0767
1453413a165d80
1526b6e39e1477
hex1348088e333c

21200102110012 has 96 divisors (see below), whose sum is σ = 43792773026688. Its totient is φ = 8792882601984.

The previous prime is 21200102109971. The next prime is 21200102110021. The reversal of 21200102110012 is 21001120100212.

It is a junction number, because it is equal to n+sod(n) for n = 21200102109974 and 21200102110001.

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, 31587268 + ... + 32251444.

It is an arithmetic number, because the mean of its divisors is an integer number (456174719028).

Almost surely, 221200102110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200102110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21896386513344).

21200102110012 is an abundant number, since it is smaller than the sum of its proper divisors (22592670916676).

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

21200102110012 is a wasteful number, since it uses less digits than its factorization.

21200102110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664535 (or 664533 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21200102110012 its reverse (21001120100212), we get a palindrome (42201222210224).

The spelling of 21200102110012 in words is "twenty-one trillion, two hundred billion, one hundred two million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 53 106 137 157 212 274 314 371 548 628 742 959 1099 1484 1918 2198 3836 4396 7261 8321 14522 16642 21509 29044 33284 43018 50827 58247 86036 101654 116494 150563 203308 232988 301126 602252 664177 1139977 1328354 2279954 2656708 4559908 4649239 7979839 9298478 15959678 18596956 31919356 35201381 70402762 90992249 104275789 140805524 181984498 208551578 246409667 363968996 417103156 492819334 636945743 729930523 985638668 1273891486 1459861046 2547782972 2919722092 4822589197 5526616817 9645178394 11053233634 14285783093 19290356788 22106467268 28571566186 33758124379 38686317719 57143132372 67516248758 77372635438 100000481651 135032497516 154745270876 200000963302 400001926604 757146503929 1514293007858 3028586015716 5300025527503 10600051055006 21200102110012