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100131322332 = 2238344276861
BaseRepresentation
bin101110101000001001…
…0101011100111011100
3100120110022202012121210
41131100102223213130
53120032104303312
6113555533424420
710143230124306
oct1352022534734
9316408665553
10100131322332
1139513580558
12174a593b110
139599a9c072
144bbc686976
152910a29e3c
hex17504ab9dc

100131322332 has 12 divisors (see below), whose sum is σ = 233639752136. Its totient is φ = 33377107440.

The previous prime is 100131322327. The next prime is 100131322337. The reversal of 100131322332 is 233223131001.

100131322332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100131322327) and next prime (100131322337).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 100131322299 and 100131322308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131322337) 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 3 ways as a sum of consecutive naturals, for example, 4172138419 + ... + 4172138442.

Almost surely, 2100131322332 is an apocalyptic number.

100131322332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131322332 is an abundant number, since it is smaller than the sum of its proper divisors (133508429804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100131322332 is a wasteful number, since it uses less digits than its factorization.

100131322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344276868 (or 8344276866 counting only the distinct ones).

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

Adding to 100131322332 its reverse (233223131001), we get a palindrome (333354453333).

The spelling of 100131322332 in words is "one hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 8344276861 16688553722 25032830583 33377107444 50065661166 100131322332