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106207500123 = 3267176131841
BaseRepresentation
bin110001011101001110…
…1011101011101011011
3101011010210011000120200
41202322131131131123
53220003110000443
6120442511153243
710446630566334
oct1427235353533
9334123130520
10106207500123
114105140189a
1218700815823
13a02788a53a
1451d764528b
152b691addd3
hex18ba75d75b

106207500123 has 12 divisors (see below), whose sum is σ = 155700548328. Its totient is φ = 69748208640.

The previous prime is 106207500103. The next prime is 106207500163. The reversal of 106207500123 is 321005702601.

It is a happy number.

106207500123 is a `hidden beast` number, since 10 + 6 + 20 + 7 + 500 + 123 = 666.

It is not a de Polignac number, because 106207500123 - 212 = 106207496027 is a prime.

It is a super-2 number, since 2×1062075001232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106207500103) 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 11 ways as a sum of consecutive naturals, for example, 88065318 + ... + 88066523.

It is an arithmetic number, because the mean of its divisors is an integer number (12975045694).

Almost surely, 2106207500123 is an apocalyptic number.

106207500123 is a deficient number, since it is larger than the sum of its proper divisors (49493048205).

106207500123 is a wasteful number, since it uses less digits than its factorization.

106207500123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176131914 (or 176131911 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 106207500123 in words is "one hundred six billion, two hundred seven million, five hundred thousand, one hundred twenty-three".

Divisors: 1 3 9 67 201 603 176131841 528395523 1585186569 11800833347 35402500041 106207500123