Search a number
-
+
313106434335108 = 223317704292421407
BaseRepresentation
bin100011100110001001100010…
…1110010111010000110000100
31112001121200102202102112211000
41013030103011302322012010
5312014413434142210413
63025531035450013300
7122644123220252451
oct10714230562720604
91461550382375730
10313106434335108
1190846769572537
122b14a15b417230
1310592a6b93c23b
14574660a26c828
15262e93c060073
hex11cc4c5cba184

313106434335108 has 96 divisors (see below), whose sum is σ = 859520417817600. Its totient is φ = 98228034298368.

The previous prime is 313106434335077. The next prime is 313106434335109. The reversal of 313106434335108 is 801533434601313.

313106434335108 is a `hidden beast` number, since 3 + 1 + 3 + 10 + 64 + 34 + 33 + 510 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (313106434335109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128096941 + ... + 130518347.

It is an arithmetic number, because the mean of its divisors is an integer number (8953337685600).

Almost surely, 2313106434335108 is an apocalyptic number.

It is an amenable number.

313106434335108 is an abundant number, since it is smaller than the sum of its proper divisors (546413983482492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313106434335108 is a wasteful number, since it uses less digits than its factorization.

313106434335108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491866 (or 2491858 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 313106434335108 in words is "three hundred thirteen trillion, one hundred six billion, four hundred thirty-four million, three hundred thirty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 70429 140858 211287 281716 422574 633861 845148 1197293 1267722 1901583 2394586 2421407 2535444 3591879 3803166 4789172 4842814 7183758 7264221 7606332 9685628 10775637 14367516 14528442 21551274 21792663 29056884 32326911 41163919 43102548 43585326 64653822 65377989 82327838 87170652 123491757 129307644 130755978 164655676 246983514 261511956 370475271 493967028 740950542 1111425813 1481901084 2222851626 4445703252 170537273603 341074547206 511611820809 682149094412 1023223641618 1534835462427 2046447283236 2899133651251 3069670924854 4604506387281 5798267302502 6139341849708 8697400953753 9209012774562 11596534605004 17394801907506 18418025549124 26092202861259 34789603815012 52184405722518 78276608583777 104368811445036 156553217167554 313106434335108