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21432300323412 = 22311179550935973
BaseRepresentation
bin1001101111110000110001…
…01001011100001001010100
32210212220111212012202000010
410313320120221130021110
510302121322340322122
6113325510212520220
74341301244630016
oct467703051341124
983786455182003
1021432300323412
116913429880390
1224a1882020070
13bc6098a0c0c4
145414865c61b6
15272783a56e0c
hex137e18a5c254

21432300323412 has 48 divisors (see below), whose sum is σ = 57764060770752. Its totient is φ = 6112599022080.

The previous prime is 21432300323341. The next prime is 21432300323419.

It is a happy number.

21432300323412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214323003234122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21432300323412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21432300323419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4775465743 + ... + 4775470230.

It is an arithmetic number, because the mean of its divisors is an integer number (1203417932724).

Almost surely, 221432300323412 is an apocalyptic number.

21432300323412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21432300323412 is an abundant number, since it is smaller than the sum of its proper divisors (36331760447340).

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

21432300323412 is a wasteful number, since it uses less digits than its factorization.

21432300323412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550936008 (or 9550936006 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 21432300 and 323412, that added together give a palindrome (21755712).

The spelling of 21432300323412 in words is "twenty-one trillion, four hundred thirty-two billion, three hundred million, three hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 9550935973 19101871946 28652807919 38203743892 57305615838 105060295703 114611231676 162365911541 210120591406 315180887109 324731823082 420241182812 487097734623 630361774218 649463646164 974195469246 1260723548436 1786025026951 1948390938492 3572050053902 5358075080853 7144100107804 10716150161706 21432300323412