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21202200012 = 223717112913151
BaseRepresentation
bin10011101111101111…
…111110010111001100
32000201121200100122010
4103233233332113030
5321410230400022
613423512421220
71350260504130
oct235757762714
960647610563
1021202200012
118aa00a8754
1241386a7810
131ccb78c5a6
141051c293c0
1584158d50c
hex4efbfe5cc

21202200012 has 96 divisors (see below), whose sum is σ = 59922616320. Its totient is φ = 5695948800.

The previous prime is 21202200011. The next prime is 21202200023. The reversal of 21202200012 is 21000220212.

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

It is not an unprimeable number, because it can be changed into a prime (21202200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605637 + ... + 1618787.

It is an arithmetic number, because the mean of its divisors is an integer number (624193920).

Almost surely, 221202200012 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 21202200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29961308160).

21202200012 is an abundant number, since it is smaller than the sum of its proper divisors (38720416308).

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

21202200012 is a wasteful number, since it uses less digits than its factorization.

21202200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14311 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21202200012 its reverse (21000220212), we get a palindrome (42202420224).

The spelling of 21202200012 in words is "twenty-one billion, two hundred two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1129 1428 2258 3387 4516 6774 7903 13151 13548 15806 19193 23709 26302 31612 38386 39453 47418 52604 57579 76772 78906 92057 94836 115158 134351 157812 184114 223567 230316 268702 276171 368228 403053 447134 537404 552342 670701 806106 894268 1104684 1341402 1564969 1612212 2682804 3129938 4694907 6259876 9389814 14847479 18779628 29694958 44542437 59389916 89084874 103932353 178169748 207864706 252407143 311797059 415729412 504814286 623594118 757221429 1009628572 1247188236 1514442858 1766850001 3028885716 3533700002 5300550003 7067400004 10601100006 21202200012