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106228993 = 137121621
BaseRepresentation
bin1100101010011…
…10110100000001
321101212222210011
412111032310001
5204143311433
614312504521
72426634343
oct625166401
9241788704
10106228993
1154a66462
122b6ab141
1319014ac0
1410173293
1594d53cd
hex654ed01

106228993 has 12 divisors (see below), whose sum is σ = 116106004. Its totient is φ = 96616800.

The previous prime is 106228987. The next prime is 106229003. The reversal of 106228993 is 399822601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47430769 + 58798224 = 6887^2 + 7668^2 .

It is not a de Polignac number, because 106228993 - 29 = 106228481 is a prime.

It is a super-2 number, since 2×1062289932 = 22569197907588098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106228093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64723 + ... + 66343.

Almost surely, 2106228993 is an apocalyptic number.

106228993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106228993 is a deficient number, since it is larger than the sum of its proper divisors (9877011).

106228993 is an equidigital number, since it uses as much as digits as its factorization.

106228993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 106228993 is about 10306.7450244973. The cubic root of 106228993 is about 473.6029020040.

The spelling of 106228993 in words is "one hundred six million, two hundred twenty-eight thousand, nine hundred ninety-three".

Divisors: 1 13 71 923 1621 5041 21073 65533 115091 1496183 8171461 106228993