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21031100013112 = 2372321409503857
BaseRepresentation
bin1001100100000101011110…
…01111101101101000111000
32202110112221112001021211021
410302002233033231220320
510224033143100404422
6112421315353512224
74300306156356040
oct462025717555070
982415845037737
1021031100013112
11677926a750102
122437b74a12674
13b972bb7cb2a7
14529ca6c52720
15267101ab0dc7
hex1320af3eda38

21031100013112 has 96 divisors (see below), whose sum is σ = 47144783800800. Its totient is φ = 8615308787712.

The previous prime is 21031100013071. The next prime is 21031100013197. The reversal of 21031100013112 is 21131000113012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41488288 + ... + 41992144.

It is an arithmetic number, because the mean of its divisors is an integer number (491091497925).

Almost surely, 221031100013112 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 21031100013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23572391900400).

21031100013112 is an abundant number, since it is smaller than the sum of its proper divisors (26113683787688).

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

21031100013112 is a wasteful number, since it uses less digits than its factorization.

21031100013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505325 (or 505298 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 21031100013112 its reverse (21131000113012), we get a palindrome (42162100126124).

The spelling of 21031100013112 in words is "twenty-one trillion, thirty-one billion, one hundred million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 529 644 1058 1288 1409 2116 2818 3703 4232 5636 7406 9863 11272 14812 19726 29624 32407 39452 64814 78904 129628 226849 259256 453698 503857 745361 907396 1007714 1490722 1814792 2015428 2981444 3526999 4030856 5217527 5962888 7053998 10435054 11588711 14107996 20870108 23177422 28215992 41740216 46354844 81120977 92709688 162241954 266540353 324483908 533080706 648967816 709934513 1066161412 1419869026 1865782471 2132322824 2839738052 3731564942 4969541591 5679476104 7463129884 9939083182 14926259768 16328493799 19878166364 32656987598 39756332728 65313975196 114299456593 130627950392 228598913186 375555357377 457197826372 751110714754 914395652744 1502221429508 2628887501639 3004442859016 5257775003278 10515550006556 21031100013112