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100325122331 = 7137109395713
BaseRepresentation
bin101110101101111010…
…1111110000100011011
3100120221211102021020112
41131123311332010123
53120431212403311
6114031055314535
710151102320010
oct1353365760433
9316854367215
10100325122331
1139602a09345
121753a81ba4b
1395cac95315
144bda2d3707
152922a5c28b
hex175bd7e11b

100325122331 has 16 divisors (see below), whose sum is σ = 115601072064. Its totient is φ = 85286283264.

The previous prime is 100325122327. The next prime is 100325122349. The reversal of 100325122331 is 133221523001.

It is not a de Polignac number, because 100325122331 - 22 = 100325122327 is a prime.

It is a super-2 number, since 2×1003251223312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100325122297 and 100325122306.

It is not an unprimeable number, because it can be changed into a prime (100325122301) 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, 1000331 + ... + 1096043.

It is an arithmetic number, because the mean of its divisors is an integer number (7225067004).

Almost surely, 2100325122331 is an apocalyptic number.

100325122331 is a deficient number, since it is larger than the sum of its proper divisors (15275949733).

100325122331 is a wasteful number, since it uses less digits than its factorization.

100325122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96950.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 100325122331 its reverse (133221523001), we get a palindrome (233546645332).

The spelling of 100325122331 in words is "one hundred billion, three hundred twenty-five million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 137 959 1093 7651 95713 149741 669991 1048187 13112681 91788767 104614309 732300163 14332160333 100325122331