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130351937 = 1761337373
BaseRepresentation
bin1111100010100…
…00001101000001
3100002021120020112
413301100031001
5231332230222
620533521105
73141654542
oct761201501
9302246215
10130351937
1167642381
12377a3195
132100ca31
14134524c9
15b69cbe2
hex7c50341

130351937 has 16 divisors (see below), whose sum is σ = 141075792. Its totient is φ = 119992320.

The previous prime is 130351927. The next prime is 130351967. The reversal of 130351937 is 739153031.

It can be written as a sum of positive squares in 8 ways, for example, as 8116801 + 122235136 = 2849^2 + 11056^2 .

It is a cyclic number.

It is not a de Polignac number, because 130351937 - 226 = 63243073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130351927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349283 + ... + 349655.

It is an arithmetic number, because the mean of its divisors is an integer number (8817237).

Almost surely, 2130351937 is an apocalyptic number.

130351937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130351937 is a deficient number, since it is larger than the sum of its proper divisors (10723855).

130351937 is a wasteful number, since it uses less digits than its factorization.

130351937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788.

The product of its (nonzero) digits is 8505, while the sum is 32.

The square root of 130351937 is about 11417.1772781191. The cubic root of 130351937 is about 507.0364288281.

The spelling of 130351937 in words is "one hundred thirty million, three hundred fifty-one thousand, nine hundred thirty-seven".

Divisors: 1 17 61 337 373 1037 5729 6341 20557 22753 125701 349469 386801 2136917 7667761 130351937