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131213061 = 3371734013
BaseRepresentation
bin1111101001000…
…10011100000101
3100010220022111000
413310202130011
5232042304221
621004203513
73152202240
oct764423405
9303808430
10131213061
1168080351
1237b39599
1321251985
14135d8257
15b7bce26
hex7d22705

131213061 has 32 divisors (see below), whose sum is σ = 223499520. Its totient is φ = 74526912.

The previous prime is 131213053. The next prime is 131213087. The reversal of 131213061 is 160312131.

It is not a de Polignac number, because 131213061 - 23 = 131213053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213261) 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 31 ways as a sum of consecutive naturals, for example, 30691 + ... + 34703.

It is an arithmetic number, because the mean of its divisors is an integer number (6984360).

Almost surely, 2131213061 is an apocalyptic number.

It is an amenable number.

131213061 is a deficient number, since it is larger than the sum of its proper divisors (92286459).

131213061 is a wasteful number, since it uses less digits than its factorization.

131213061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131213061 is about 11454.8269738133. The cubic root of 131213061 is about 508.1504981690.

Adding to 131213061 its reverse (160312131), we get a palindrome (291525192).

The spelling of 131213061 in words is "one hundred thirty-one million, two hundred thirteen thousand, sixty-one".

Divisors: 1 3 7 9 21 27 63 173 189 519 1211 1557 3633 4013 4671 10899 12039 28091 32697 36117 84273 108351 252819 694249 758457 2082747 4859743 6248241 14579229 18744723 43737687 131213061