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21031200213012 = 22321153109091447
BaseRepresentation
bin1001100100000101101010…
…01101111100100000010100
32202110120012111120222020200
410302002311031330200110
510224033344223304022
6112421333333300500
74300311514143033
oct462026515744024
982416174528220
1021031200213012
116779311268840
122437ba2494730
13b973064b1a82
14529cb629671a
1526710a7a4bac
hex1320b537c814

21031200213012 has 36 divisors (see below), whose sum is σ = 57995127861216. Its totient is φ = 6373090973520.

The previous prime is 21031200212989. The next prime is 21031200213031.

21031200213012 is a `hidden beast` number, since 210 + 31 + 200 + 213 + 0 + 12 = 666.

21031200213012 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×210312002130122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26554545328 + ... + 26554546119.

Almost surely, 221031200213012 is an apocalyptic number.

21031200213012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21031200213012 is an abundant number, since it is smaller than the sum of its proper divisors (36963927648204).

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

21031200213012 is a wasteful number, since it uses less digits than its factorization.

21031200213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53109091468 (or 53109091463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 21031200 and 213012, that added together give a palindrome (21244212).

The spelling of 21031200213012 in words is "twenty-one trillion, thirty-one billion, two hundred million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 53109091447 106218182894 159327274341 212436365788 318654548682 477981823023 584200005917 637309097364 955963646046 1168400011834 1752600017751 1911927292092 2336800023668 3505200035502 5257800053253 7010400071004 10515600106506 21031200213012