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1312131210 = 235132258803
BaseRepresentation
bin100111000110101…
…1000100010001010
310101110000011122020
41032031120202022
510141401144320
6334111305310
744341634265
oct11615304212
93343004566
101312131210
11613733665
1230751b236
1317bac4900
14c639bcdc
157a2d9940
hex4e35888a

1312131210 has 48 divisors (see below), whose sum is σ = 3410001504. Its totient is φ = 322984896.

The previous prime is 1312131199. The next prime is 1312131211. The reversal of 1312131210 is 121312131.

It is a happy number.

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 1312131210.

It is not an unprimeable number, because it can be changed into a prime (1312131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124332 + ... + 134471.

It is an arithmetic number, because the mean of its divisors is an integer number (71041698).

Almost surely, 21312131210 is an apocalyptic number.

1312131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312131210 is an abundant number, since it is smaller than the sum of its proper divisors (2097870294).

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

1312131210 is a wasteful number, since it uses less digits than its factorization.

1312131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258839 (or 258826 counting only the distinct ones).

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

The square root of 1312131210 is about 36223.3517223351. The cubic root of 1312131210 is about 1094.7772278824. Note that the first 3 decimals are identical.

Adding to 1312131210 its reverse (121312131), we get a palindrome (1433443341).

The spelling of 1312131210 in words is "one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 258803 517606 776409 1294015 1552818 2588030 3364439 3882045 6728878 7764090 10093317 16822195 20186634 33644390 43737707 50466585 87475414 100933170 131213121 218688535 262426242 437377070 656065605 1312131210