Search a number
-
+
10230112212 = 2234183479523
BaseRepresentation
bin10011000011100001…
…10001111111010100
3222101221202112201220
421201300301333110
5131422402042322
64411042450340
7511340343015
oct114160617724
928357675656
1010230112212
11437a6a47a1
121b960639b0
13c70588848
146d094300c
153ed1b455c
hex261c31fd4

10230112212 has 96 divisors (see below), whose sum is σ = 24846151680. Its totient is φ = 3273649920.

The previous prime is 10230112199. The next prime is 10230112231. The reversal of 10230112212 is 21221103201.

10230112212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102301122122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10230112191 and 10230112200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19560183 + ... + 19560705.

It is an arithmetic number, because the mean of its divisors is an integer number (258814080).

Almost surely, 210230112212 is an apocalyptic number.

10230112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10230112212 is an abundant number, since it is smaller than the sum of its proper divisors (14616039468).

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

10230112212 is a wasteful number, since it uses less digits than its factorization.

10230112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10230112212 its reverse (21221103201), we get a palindrome (31451215413).

The spelling of 10230112212 in words is "ten billion, two hundred thirty million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 83 123 164 166 246 249 332 479 492 498 523 958 996 1046 1437 1569 1916 2092 2874 3138 3403 5748 6276 6806 10209 13612 19639 20418 21443 39278 39757 40836 42886 43409 58917 64329 78556 79514 85772 86818 117834 119271 128658 130227 159028 173636 235668 238542 250517 257316 260454 477084 501034 520908 751551 1002068 1503102 1630037 1779769 3006204 3260074 3559538 4890111 5339307 6520148 7119076 9780222 10271197 10678614 19560444 20542394 20792911 21357228 30813591 41084788 41585822 61627182 62378733 83171644 123254364 124757466 249514932 852509351 1705018702 2557528053 3410037404 5115056106 10230112212