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130636701 = 321341113241
BaseRepresentation
bin1111100100101…
…01101110011101
3100002211000212100
413302111232131
5231420333301
620543555313
73144252006
oct762255635
9302730770
10130636701
1167817318
12378bbb39
13210ac530
14134c81ad
15b707286
hex7c95b9d

130636701 has 48 divisors (see below), whose sum is σ = 210882672. Its totient is φ = 77414400.

The previous prime is 130636673. The next prime is 130636729. The reversal of 130636701 is 107636031.

It is an interprime number because it is at equal distance from previous prime (130636673) and next prime (130636729).

It can be written as a sum of positive squares in 8 ways, for example, as 50552100 + 80084601 = 7110^2 + 8949^2 .

It is not a de Polignac number, because 130636701 - 25 = 130636669 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130636741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541941 + ... + 542181.

It is an arithmetic number, because the mean of its divisors is an integer number (4393389).

Almost surely, 2130636701 is an apocalyptic number.

It is an amenable number.

130636701 is a deficient number, since it is larger than the sum of its proper divisors (80245971).

130636701 is a wasteful number, since it uses less digits than its factorization.

130636701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 130636701 is about 11429.6413329553. The cubic root of 130636701 is about 507.4053805336.

The spelling of 130636701 in words is "one hundred thirty million, six hundred thirty-six thousand, seven hundred one".

Divisors: 1 3 9 13 39 41 113 117 123 241 339 369 533 723 1017 1469 1599 2169 3133 4407 4633 4797 9399 9881 13221 13899 27233 28197 29643 41697 60229 81699 88929 128453 180687 245097 354029 385359 542061 1062087 1116553 1156077 3186261 3349659 10048977 14515189 43545567 130636701