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10132005052 = 22136710727179
BaseRepresentation
bin10010110111110101…
…00010000010111100
3222011010011012000101
421123322202002330
5131222243130202
64353220010444
7506036423221
oct113372420274
928133135011
1010132005052
11432a2863a4
121b69230a24
13c56158780
146c18c5948
153e4785887
hex25bea20bc

10132005052 has 48 divisors (see below), whose sum is σ = 19561772160. Its totient is φ = 4563294912.

The previous prime is 10132005029. The next prime is 10132005053. The reversal of 10132005052 is 25050023101.

10132005052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132005053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 359199 + ... + 386377.

It is an arithmetic number, because the mean of its divisors is an integer number (407536920).

Almost surely, 210132005052 is an apocalyptic number.

It is an amenable number.

10132005052 is a deficient number, since it is larger than the sum of its proper divisors (9429767108).

10132005052 is a wasteful number, since it uses less digits than its factorization.

10132005052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27370 (or 27368 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 10132005052 its reverse (25050023101), we get a palindrome (35182028153).

The spelling of 10132005052 in words is "ten billion, one hundred thirty-two million, five thousand, fifty-two".

Divisors: 1 2 4 13 26 52 67 107 134 214 268 428 871 1391 1742 2782 3484 5564 7169 14338 27179 28676 54358 93197 108716 186394 353327 372788 706654 1413308 1820993 2908153 3641986 5816306 7283972 11632612 23672909 37805989 47345818 75611978 94691636 151223956 194846251 389692502 779385004 2533001263 5066002526 10132005052