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3130105002201 = 322411443109729
BaseRepresentation
bin101101100011001000110…
…010111111100011011001
3102002020100101210012000100
4231203020302333203121
5402240423340032301
610353541141130013
7442066630346232
oct55431062774331
912066311705010
103130105002201
11aa7519743591
124267759b9909
131992243a9cc8
14ab6d82d6089
155664b8e9286
hex2d8c8cbf8d9

3130105002201 has 12 divisors (see below), whose sum is σ = 4540023210580. Its totient is φ = 2078078008320.

The previous prime is 3130105002181. The next prime is 3130105002223. The reversal of 3130105002201 is 1022005010313.

3130105002201 is a `hidden beast` number, since 3 + 130 + 10 + 500 + 2 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1387269374976 + 1742835627225 = 1177824^2 + 1320165^2 .

It is not a de Polignac number, because 3130105002201 - 26 = 3130105002137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3130105002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 721552696 + ... + 721557033.

Almost surely, 23130105002201 is an apocalyptic number.

It is an amenable number.

3130105002201 is a deficient number, since it is larger than the sum of its proper divisors (1409918208379).

3130105002201 is a wasteful number, since it uses less digits than its factorization.

3130105002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443109976 (or 1443109973 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 3130105002201 in words is "three trillion, one hundred thirty billion, one hundred five million, two thousand, two hundred one".

Divisors: 1 3 9 241 723 2169 1443109729 4329329187 12987987561 347789444689 1043368334067 3130105002201