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106264244413 = 7313918157859
BaseRepresentation
bin110001011110111010…
…1111011000010111101
3101011021201220221010001
41202331311323002331
53220112121310123
6120452255314301
710451220113515
oct1427565730275
9334251827101
10106264244413
11410804396a8
121871781b991
13a036567642
145200db6845
152b6e16c0ad
hex18bdd7b0bd

106264244413 has 16 divisors (see below), whose sum is σ = 109096187200. Its totient is φ = 103477875840.

The previous prime is 106264244377. The next prime is 106264244417. The reversal of 106264244413 is 314442462601.

It is a cyclic number.

It is not a de Polignac number, because 106264244413 - 29 = 106264243901 is a prime.

It is a super-2 number, since 2×1062642444132 (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 (106264244417) 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 15 ways as a sum of consecutive naturals, for example, 1807678 + ... + 1865536.

It is an arithmetic number, because the mean of its divisors is an integer number (6818511700).

Almost surely, 2106264244413 is an apocalyptic number.

It is an amenable number.

106264244413 is a deficient number, since it is larger than the sum of its proper divisors (2831942787).

106264244413 is a wasteful number, since it uses less digits than its factorization.

106264244413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58252.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 106264244413 in words is "one hundred six billion, two hundred sixty-four million, two hundred forty-four thousand, four hundred thirteen".

Divisors: 1 73 139 181 10147 13213 25159 57859 1836607 4223707 8042401 10472479 587095273 764490967 1455674581 106264244413