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10132131210 = 2358317092381
BaseRepresentation
bin10010110111110110…
…00000110110001010
3222011010101121001220
421123323000312022
5131222311144320
64353222422510
7506040460065
oct113373006612
928133347056
1010132131210
11432a362163
121b69291a36
13c561a1016
146c19198dc
153e47ace40
hex25bec0d8a

10132131210 has 64 divisors (see below), whose sum is σ = 24634834560. Its totient is φ = 2666666240.

The previous prime is 10132131209. The next prime is 10132131227. The reversal of 10132131210 is 1213123101.

It is a happy number.

10132131210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10132131210.

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, 4254220 + ... + 4256600.

It is an arithmetic number, because the mean of its divisors is an integer number (384919290).

Almost surely, 210132131210 is an apocalyptic number.

10132131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132131210 is an abundant number, since it is smaller than the sum of its proper divisors (14502703350).

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

10132131210 is a wasteful number, since it uses less digits than its factorization.

10132131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10132131210 its reverse (1213123101), we get a palindrome (11345254311).

The spelling of 10132131210 in words is "ten billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 1709 2381 2490 3418 4762 5127 7143 8545 10254 11905 14286 17090 23810 25635 35715 51270 71430 141847 197623 283694 395246 425541 592869 709235 851082 988115 1185738 1418470 1976230 2127705 2964345 4069129 4255410 5928690 8138258 12207387 20345645 24414774 40691290 61036935 122073870 337737707 675475414 1013213121 1688688535 2026426242 3377377070 5066065605 10132131210