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100232323113 = 31319135266293
BaseRepresentation
bin101110101011001001…
…1111110000000101001
3100120201100210120122110
41131112103332000221
53120233433314423
6114013542312533
710145564455236
oct1352623760051
9316640716573
10100232323113
113956559597a
1217513728749
1395b49a3240
144bcbc5878d
15291982b193
hex17564fe029

100232323113 has 16 divisors (see below), whose sum is σ = 151498249280. Its totient is φ = 58435038144.

The previous prime is 100232323109. The next prime is 100232323127. The reversal of 100232323113 is 311323232001.

It is not a de Polignac number, because 100232323113 - 22 = 100232323109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100232323113.

It is not an unprimeable number, because it can be changed into a prime (100232323193) 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, 67632406 + ... + 67633887.

It is an arithmetic number, because the mean of its divisors is an integer number (9468640580).

Almost surely, 2100232323113 is an apocalyptic number.

100232323113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100232323113 is a deficient number, since it is larger than the sum of its proper divisors (51265926167).

100232323113 is a wasteful number, since it uses less digits than its factorization.

100232323113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135266328.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100232323113 its reverse (311323232001), we get a palindrome (411555555114).

The spelling of 100232323113 in words is "one hundred billion, two hundred thirty-two million, three hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 13 19 39 57 247 741 135266293 405798879 1758461809 2570059567 5275385427 7710178701 33410774371 100232323113