Search a number
-
+
10211232221124 = 223111917351234653
BaseRepresentation
bin1001010010010111110011…
…0111101000011111000100
31100011011222022220220001120
42110211330313220133010
52314300100422033444
633414550400353540
72102510565530544
oct224457467503704
940134868826046
1010211232221124
1132876174231a0
12118b0090158b0
13590bb852b28c
14274324c8d324
1512a93e527b19
hex9497cde87c4

10211232221124 has 96 divisors (see below), whose sum is σ = 27361932917760. Its totient is φ = 2931272784000.

The previous prime is 10211232221063. The next prime is 10211232221189. The reversal of 10211232221124 is 42112223211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211232221094 and 10211232221103.

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 31 ways as a sum of consecutive naturals, for example, 43398982 + ... + 43633634.

It is an arithmetic number, because the mean of its divisors is an integer number (285020134560).

Almost surely, 210211232221124 is an apocalyptic number.

It is an amenable number.

10211232221124 is an abundant number, since it is smaller than the sum of its proper divisors (17150700696636).

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

10211232221124 is a wasteful number, since it uses less digits than its factorization.

10211232221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252041 (or 252039 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10211232221124 its reverse (42112223211201), we get a palindrome (52323455432325).

The spelling of 10211232221124 in words is "ten trillion, two hundred eleven billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 17351 34702 52053 69404 104106 190861 208212 234653 329669 381722 469306 572583 659338 703959 763444 938612 989007 1145166 1318676 1407918 1978014 2290332 2581183 2815836 3626359 3956028 4458407 5162366 7252718 7743549 8916814 10324732 10879077 13375221 14505436 15487098 17833628 21758154 26750442 30974196 43516308 49042477 53500884 98084954 147127431 196169908 294254862 588509724 4071464203 8142928406 12214392609 16285856812 24428785218 44786106233 48857570436 77357819857 89572212466 134358318699 154715639714 179144424932 232073459571 268716637398 309431279428 464146919142 537433274796 850936018427 928293838284 1701872036854 2552808055281 3403744073708 5105616110562 10211232221124