Search a number
-
+
10132314534 = 2321779419141
BaseRepresentation
bin10010110111110111…
…01101100110100110
3222011010201220112200
421123323231212212
5131222333031114
64353230355330
7506042152416
oct113373554646
928133656480
1010132314534
11432a477971
121b6935bb46
13c562365b4
146c1966646
153e47e7409
hex25beed9a6

10132314534 has 48 divisors (see below), whose sum is σ = 23539014720. Its totient is φ = 3138520320.

The previous prime is 10132314529. The next prime is 10132314541. The reversal of 10132314534 is 43541323101.

It is a happy number.

10132314534 is a `hidden beast` number, since 101 + 3 + 23 + 1 + 4 + 534 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10132314498 and 10132314507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185397 + ... + 233744.

It is an arithmetic number, because the mean of its divisors is an integer number (490396140).

Almost surely, 210132314534 is an apocalyptic number.

10132314534 is an abundant number, since it is smaller than the sum of its proper divisors (13406700186).

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

10132314534 is a wasteful number, since it uses less digits than its factorization.

10132314534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419245 (or 419242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10132314534 its reverse (43541323101), we get a palindrome (53673637635).

The spelling of 10132314534 in words is "ten billion, one hundred thirty-two million, three hundred fourteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 474 711 1343 1422 2686 4029 8058 12087 24174 419141 838282 1257423 2514846 3772269 7125397 7544538 14250794 21376191 33112139 42752382 64128573 66224278 99336417 128257146 198672834 298009251 562906363 596018502 1125812726 1688719089 3377438178 5066157267 10132314534