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131225731 = 7136721523
BaseRepresentation
bin1111101001001…
…01100010000011
3100010220221212021
413310211202003
5232043210411
621004342311
73152254210
oct764454203
9303827767
10131225731
116808991a
1237b44997
1321257680
14135dcb07
15b7c1a71
hex7d25883

131225731 has 16 divisors (see below), whose sum is σ = 163926784. Its totient is φ = 102272544.

The previous prime is 131225711. The next prime is 131225747. The reversal of 131225731 is 137522131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131225731 - 219 = 130701443 is a prime.

It is a super-2 number, since 2×1312257312 = 34440384952968722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131225696 and 131225705.

It is not an unprimeable number, because it can be changed into a prime (131225711) 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 15 ways as a sum of consecutive naturals, for example, 4665 + ... + 16858.

It is an arithmetic number, because the mean of its divisors is an integer number (10245424).

Almost surely, 2131225731 is an apocalyptic number.

131225731 is a deficient number, since it is larger than the sum of its proper divisors (32701053).

131225731 is a wasteful number, since it uses less digits than its factorization.

131225731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21610.

The product of its digits is 1260, while the sum is 25.

The square root of 131225731 is about 11455.3800024268. The cubic root of 131225731 is about 508.1668533996.

Adding to 131225731 its reverse (137522131), we get a palindrome (268747862).

The spelling of 131225731 in words is "one hundred thirty-one million, two hundred twenty-five thousand, seven hundred thirty-one".

Divisors: 1 7 13 67 91 469 871 6097 21523 150661 279799 1442041 1958593 10094287 18746533 131225731