Search a number
-
+
10132130232 = 2332722871919
BaseRepresentation
bin10010110111110110…
…00000100110111000
3222011010101112201200
421123323000212320
5131222311131412
64353222414200
7506040454200
oct113373004670
928133345650
1010132130232
11432a361454
121b69291360
13c561a0743
146c1919400
153e47ac9dc
hex25bec09b8

10132130232 has 72 divisors (see below), whose sum is σ = 31921390800. Its totient is φ = 2894893344.

The previous prime is 10132130219. The next prime is 10132130249. The reversal of 10132130232 is 23203123101.

10132130232 is a `hidden beast` number, since 10 + 1 + 321 + 302 + 32 = 666.

10132130232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 1432432 + ... + 1439487.

It is an arithmetic number, because the mean of its divisors is an integer number (443352650).

Almost surely, 210132130232 is an apocalyptic number.

10132130232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132130232 is an abundant number, since it is smaller than the sum of its proper divisors (21789260568).

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

10132130232 is a wasteful number, since it uses less digits than its factorization.

10132130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871945 (or 2871931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132130232 its reverse (23203123101), we get a palindrome (33335253333).

The spelling of 10132130232 in words is "ten billion, one hundred thirty-two million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 2871919 5743838 8615757 11487676 17231514 20103433 22975352 25847271 34463028 40206866 51694542 60310299 68926056 80413732 103389084 120620598 140724031 160827464 180930897 206778168 241241196 281448062 361861794 422172093 482482392 562896124 723723588 844344186 1125792248 1266516279 1447447176 1688688372 2533032558 3377376744 5066065116 10132130232