Search a number
-
+
31351433415313 = 118210533471311
BaseRepresentation
bin1110010000011100100110…
…00011010100101010010001
311010000011112022002102111011
413020032103003110222101
513102130213423242223
6150402352155250521
76414031514031004
oct710162303245221
9133004468072434
1031351433415313
119a98082918450
12362414b749a41
13146557325453b
147a55bb79553b
153957c933980d
hex1c83930d4a91

31351433415313 has 8 divisors (see below), whose sum is σ = 34201615234176. Its totient is φ = 28501260181200.

The previous prime is 31351433415293. The next prime is 31351433415329.

31351433415313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31351433415313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31351433455313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7295928 + ... + 10767238.

It is an arithmetic number, because the mean of its divisors is an integer number (4275201904272).

Almost surely, 231351433415313 is an apocalyptic number.

It is an amenable number.

31351433415313 is a deficient number, since it is larger than the sum of its proper divisors (2850181818863).

31351433415313 is a wasteful number, since it uses less digits than its factorization.

31351433415313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292375.

The product of its digits is 291600, while the sum is 40.

The spelling of 31351433415313 in words is "thirty-one trillion, three hundred fifty-one billion, four hundred thirty-three million, four hundred fifteen thousand, three hundred thirteen".

Divisors: 1 11 821053 3471311 9031583 38184421 2850130310483 31351433415313