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131227993 = 132776497
BaseRepresentation
bin1111101001001…
…10000101011001
3100010221001222001
413310212011121
5232043243433
621004401001
73152263621
oct764460531
9303831861
10131227993
1168090596
1237b46161
1321258700
14135dd881
15b7c257d
hex7d26159

131227993 has 6 divisors (see below), whose sum is σ = 142099134. Its totient is φ = 121133376.

The previous prime is 131227973. The next prime is 131227997. The reversal of 131227993 is 399722131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1996569 + 129231424 = 1413^2 + 11368^2 .

It is not a de Polignac number, because 131227993 - 217 = 131096921 is a prime.

It is a super-2 number, since 2×1312279932 = 34441572293616098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131227997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 388080 + ... + 388417.

It is an arithmetic number, because the mean of its divisors is an integer number (23683189).

Almost surely, 2131227993 is an apocalyptic number.

131227993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131227993 is a deficient number, since it is larger than the sum of its proper divisors (10871141).

131227993 is an equidigital number, since it uses as much as digits as its factorization.

131227993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776523 (or 776510 counting only the distinct ones).

The product of its digits is 20412, while the sum is 37.

The square root of 131227993 is about 11455.4787329033. The cubic root of 131227993 is about 508.1697732203.

It can be divided in two parts, 13122 and 7993, that added together give a triangular number (21115 = T205).

The spelling of 131227993 in words is "one hundred thirty-one million, two hundred twenty-seven thousand, nine hundred ninety-three".

Divisors: 1 13 169 776497 10094461 131227993