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21212414132 = 22713672333733
BaseRepresentation
bin10011110000010110…
…111100000010110100
32000202022220021202212
4103300112330002310
5321420334223012
613424515352552
71350443354660
oct236026740264
960668807685
1021212414132
118aa5944778
12413bbb2758
132000927750
1410533278a0
15842409b22
hex4f05bc0b4

21212414132 has 96 divisors (see below), whose sum is σ = 46581679872. Its totient is φ = 8228791296.

The previous prime is 21212414129. The next prime is 21212414147. The reversal of 21212414132 is 23141421212.

It is a junction number, because it is equal to n+sod(n) for n = 21212414098 and 21212414107.

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, 5680538 + ... + 5684270.

It is an arithmetic number, because the mean of its divisors is an integer number (485225832).

Almost surely, 221212414132 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 21212414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23290839936).

21212414132 is an abundant number, since it is smaller than the sum of its proper divisors (25369265740).

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

21212414132 is a wasteful number, since it uses less digits than its factorization.

21212414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4055 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

Adding to 21212414132 its reverse (23141421212), we get a palindrome (44353835344).

The spelling of 21212414132 in words is "twenty-one billion, two hundred twelve million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 67 91 134 182 233 268 364 466 469 871 932 938 1631 1742 1876 3029 3262 3484 3733 6058 6097 6524 7466 12116 12194 14932 15611 21203 24388 26131 31222 42406 48529 52262 62444 84812 97058 104524 109277 194116 202943 218554 250111 339703 405886 437108 500222 679406 811772 869789 1000444 1358812 1420601 1739578 1750777 2841202 3251443 3479156 3501554 5682404 6088523 6502886 7003108 11307257 12177046 13005772 22614514 22760101 24354092 45229028 45520202 58275863 79150799 91040404 116551726 158301598 233103452 316603196 407931041 757586219 815862082 1515172438 1631724164 3030344876 5303103533 10606207066 21212414132