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313055420300145 = 32513750779468013
BaseRepresentation
bin100011100101110001110010…
…1000111110011101101110001
31112001102210202111112001201200
41013023203211013303231301
5312013100000044101040
63025451401422121413
7122640336103152525
oct10713434507635561
91461383674461650
10313055420300145
119082707046aa66
122b1402a2a20269
131058accba8a033
145743d6adb9d85
15262d453665630
hex11cb8e51f3b71

313055420300145 has 24 divisors (see below), whose sum is σ = 546590193702696. Its totient is φ = 165744183591168.

The previous prime is 313055420300111. The next prime is 313055420300159. The reversal of 313055420300145 is 541003024550313.

313055420300145 is a `hidden beast` number, since 3 + 1 + 30 + 554 + 2 + 0 + 30 + 0 + 1 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44862654765681 + 268192765534464 = 6697959^2 + 16376592^2 .

It is not a de Polignac number, because 313055420300145 - 217 = 313055420169073 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25389727842 + ... + 25389740171.

It is an arithmetic number, because the mean of its divisors is an integer number (22774591404279).

Almost surely, 2313055420300145 is an apocalyptic number.

It is an amenable number.

313055420300145 is a deficient number, since it is larger than the sum of its proper divisors (233534773402551).

313055420300145 is a wasteful number, since it uses less digits than its factorization.

313055420300145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50779468161 (or 50779468158 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 313055420300145 its reverse (541003024550313), we get a palindrome (854058444850458).

The spelling of 313055420300145 in words is "three hundred thirteen trillion, fifty-five billion, four hundred twenty million, three hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 50779468013 152338404039 253897340065 457015212117 761692020195 2285076060585 6956787117781 20870361353343 34783935588905 62611084060029 104351806766715 313055420300145