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3426110205117 = 319471976491759
BaseRepresentation
bin110001110110110100000…
…101001110110010111101
3110010112101111210111100220
4301312310011032302331
5422113133203030432
611141533332011553
7502346130145065
oct61666405166275
913115344714326
103426110205117
11110100698a696
12474005460bb9
131bb1086b9452
14bbb78a7a3a5
155e1c350e72c
hex31db414ecbd

3426110205117 has 32 divisors (see below), whose sum is σ = 4935814963200. Its totient is φ = 2107068844608.

The previous prime is 3426110205113. The next prime is 3426110205121. The reversal of 3426110205117 is 7115020116243.

It is an interprime number because it is at equal distance from previous prime (3426110205113) and next prime (3426110205121).

It is not a de Polignac number, because 3426110205117 - 22 = 3426110205113 is a prime.

It is a super-2 number, since 2×34261102051172 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426110205113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2718117 + ... + 3773642.

It is an arithmetic number, because the mean of its divisors is an integer number (154244217600).

Almost surely, 23426110205117 is an apocalyptic number.

It is an amenable number.

3426110205117 is a deficient number, since it is larger than the sum of its proper divisors (1509704758083).

3426110205117 is a wasteful number, since it uses less digits than its factorization.

3426110205117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492025.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 3426110205117 in words is "three trillion, four hundred twenty-six billion, one hundred ten million, two hundred five thousand, one hundred seventeen".

Divisors: 1 3 19 47 57 141 197 591 893 2679 3743 9259 11229 27777 175921 527763 6491759 19475277 123343421 305112673 370030263 915338019 1278876523 3836629569 5797140787 17391422361 24298653937 60107196581 72895961811 180321589743 1142036735039 3426110205117