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131214413 = 1131449857
BaseRepresentation
bin1111101001000…
…10110001001101
3100010220101100002
413310202301031
5232042330123
621004214045
73152206211
oct764426115
9303811302
10131214413
1168081370
1237b3a325
1321252485
14135d8941
15b7bd528
hex7d22c4d

131214413 has 16 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 115046400.

The previous prime is 131214409. The next prime is 131214427. The reversal of 131214413 is 314412131.

It is a cyclic number.

It is not a de Polignac number, because 131214413 - 22 = 131214409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152681 + ... + 153537.

It is an arithmetic number, because the mean of its divisors is an integer number (9266400).

Almost surely, 2131214413 is an apocalyptic number.

It is an amenable number.

131214413 is a deficient number, since it is larger than the sum of its proper divisors (17047987).

131214413 is a wasteful number, since it uses less digits than its factorization.

131214413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348.

The product of its digits is 288, while the sum is 20.

The square root of 131214413 is about 11454.8859880839. The cubic root of 131214413 is about 508.1522434656.

Adding to 131214413 its reverse (314412131), we get a palindrome (445626544).

The spelling of 131214413 in words is "one hundred thirty-one million, two hundred fourteen thousand, four hundred thirteen".

Divisors: 1 11 31 341 449 857 4939 9427 13919 26567 153109 292237 384793 4232723 11928583 131214413