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106422313431 = 3745711089123
BaseRepresentation
bin110001100011101000…
…0111010000111010111
3101011200202100200001010
41203013100322013113
53220423103012211
6120520103303303
710455146511240
oct1430720720727
9334622320033
10106422313431
1141151692255
121876074ab33
13a0602301c5
145217da1cc7
152b7ce924a6
hex18c743a1d7

106422313431 has 16 divisors (see below), whose sum is σ = 162522201344. Its totient is φ = 60679675584.

The previous prime is 106422313423. The next prime is 106422313453. The reversal of 106422313431 is 134313224601.

It is not a de Polignac number, because 106422313431 - 23 = 106422313423 is a prime.

It is a super-2 number, since 2×1064223134312 (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 (106422313031) 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 15 ways as a sum of consecutive naturals, for example, 5534965 + ... + 5554158.

It is an arithmetic number, because the mean of its divisors is an integer number (10157637584).

Almost surely, 2106422313431 is an apocalyptic number.

106422313431 is a deficient number, since it is larger than the sum of its proper divisors (56099887913).

106422313431 is a wasteful number, since it uses less digits than its factorization.

106422313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11089590.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 106422313431 in words is "one hundred six billion, four hundred twenty-two million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 457 1371 3199 9597 11089123 33267369 77623861 232871583 5067729211 15203187633 35474104477 106422313431