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105711317533 = 5312715705143
BaseRepresentation
bin110001001110011100…
…0101011001000011101
3101002212012111100000201
41202130320223020131
53212444044130113
6120321344223501
710431424242013
oct1423470531035
9332765440021
10105711317533
1140917312538
12185a260ab91
139c78b40b83
14518b7a48b3
152b3a84bcdd
hex189ce2b21d

105711317533 has 8 divisors (see below), whose sum is σ = 108553955328. Its totient is φ = 102900090384.

The previous prime is 105711317527. The next prime is 105711317539. The reversal of 105711317533 is 335713117501.

It is an interprime number because it is at equal distance from previous prime (105711317527) and next prime (105711317539).

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-105711317533 is a prime.

It is a super-2 number, since 2×1057113175332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105711317492 and 105711317501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105711317539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7845841 + ... + 7859302.

It is an arithmetic number, because the mean of its divisors is an integer number (13569244416).

Almost surely, 2105711317533 is an apocalyptic number.

It is an amenable number.

105711317533 is a deficient number, since it is larger than the sum of its proper divisors (2842637795).

105711317533 is a wasteful number, since it uses less digits than its factorization.

105711317533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705323.

The product of its (nonzero) digits is 33075, while the sum is 37.

The spelling of 105711317533 in words is "one hundred five billion, seven hundred eleven million, three hundred seventeen thousand, five hundred thirty-three".

Divisors: 1 53 127 6731 15705143 832372579 1994553161 105711317533