Search a number
-
+
102233113110 = 23251676801937
BaseRepresentation
bin101111100110110010…
…0011000001000010110
3100202212210122020112200
41133031210120020112
53133333134104420
6114544254225330
710246301060232
oct1371544301026
9322783566480
10102233113110
113a3a1a22027
12179917b5246
13984336604b
144d3b87b5c2
1529d52e7b90
hex17cd918216

102233113110 has 48 divisors (see below), whose sum is σ = 267397786656. Its totient is φ = 27098913024.

The previous prime is 102233113039. The next prime is 102233113193. The reversal of 102233113110 is 11311332201.

102233113110 is a `hidden beast` number, since 1 + 0 + 22 + 331 + 1 + 311 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3385939 + ... + 3415998.

It is an arithmetic number, because the mean of its divisors is an integer number (5570787222).

Almost surely, 2102233113110 is an apocalyptic number.

102233113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102233113110 is an abundant number, since it is smaller than the sum of its proper divisors (165164673546).

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

102233113110 is a wasteful number, since it uses less digits than its factorization.

102233113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802117 (or 6802114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102233113110 its reverse (11311332201), we get a palindrome (113544445311).

The spelling of 102233113110 in words is "one hundred two billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 6801937 13603874 20405811 34009685 40811622 61217433 68019370 102029055 122434866 204058110 306087165 612174330 1135923479 2271846958 3407770437 5679617395 6815540874 10223311311 11359234790 17038852185 20446622622 34077704370 51116556555 102233113110