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105403162813 = 1353866317659
BaseRepresentation
bin110001000101010000…
…1001010000010111101
3101002001201122110012221
41202022201022002331
53211331202202223
6120231015325341
710420663046524
oct1421241120275
9332051573187
10105403162813
1140779379313
1218517380851
139c2a0493c0
14515c8ab4bb
152b1d77bb5d
hex188a84a0bd

105403162813 has 16 divisors (see below), whose sum is σ = 115672717440. Its totient is φ = 95443043904.

The previous prime is 105403162649. The next prime is 105403162817. The reversal of 105403162813 is 318261304501.

It is a de Polignac number, because none of the positive numbers 2k-105403162813 is a prime.

It is a super-2 number, since 2×1054031628132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105403162817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5959978 + ... + 5977636.

It is an arithmetic number, because the mean of its divisors is an integer number (7229544840).

Almost surely, 2105403162813 is an apocalyptic number.

105403162813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105403162813 is a deficient number, since it is larger than the sum of its proper divisors (10269554627).

105403162813 is a wasteful number, since it uses less digits than its factorization.

105403162813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 105403162813 in words is "one hundred five billion, four hundred three million, one hundred sixty-two thousand, eight hundred thirteen".

Divisors: 1 13 53 689 8663 17659 112619 229567 459139 935927 5968807 12167051 152979917 1988738921 8107935601 105403162813