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130121313093 = 3273198053749
BaseRepresentation
bin111100100101111010…
…1011010101101000101
3110102212101012120220100
41321023311122231011
54112442024004333
6135435451154313
712254345624562
oct1711365325505
9412771176810
10130121313093
11502030a8492
1221275445999
13c36906b325
146425647869
1535b8828213
hex1e4bd5ab45

130121313093 has 12 divisors (see below), whose sum is σ = 190527707500. Its totient is φ = 85559219136.

The previous prime is 130121313061. The next prime is 130121313109. The reversal of 130121313093 is 390313121031.

130121313093 is a `hidden beast` number, since 1 + 301 + 21 + 31 + 309 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108858423969 + 21262889124 = 329937^2 + 145818^2 .

It is not a de Polignac number, because 130121313093 - 25 = 130121313061 is a prime.

It is a super-2 number, since 2×1301213130932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121313593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99026218 + ... + 99027531.

Almost surely, 2130121313093 is an apocalyptic number.

It is an amenable number.

130121313093 is a deficient number, since it is larger than the sum of its proper divisors (60406394407).

130121313093 is a wasteful number, since it uses less digits than its factorization.

130121313093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198053828 (or 198053825 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 130121313093 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred thirteen thousand, ninety-three".

Divisors: 1 3 9 73 219 657 198053749 594161247 1782483741 14457923677 43373771031 130121313093