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100152352332 = 223219071458841
BaseRepresentation
bin101110101000110001…
…0111001111001001100
3100120111210022122100200
41131101202321321030
53120103000233312
6114002004253500
710143603643254
oct1352142717114
9316453278320
10100152352332
113952443471a
12174b09a1290
1395a1253256
144bc139c964
1529127d10dc
hex17518b9e4c

100152352332 has 36 divisors (see below), whose sum is σ = 253295818776. Its totient is φ = 33366588480.

The previous prime is 100152352327. The next prime is 100152352357. The reversal of 100152352332 is 233253251001.

It is a happy number.

100152352332 is a `hidden beast` number, since 100 + 1 + 5 + 2 + 3 + 523 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 100152352296 and 100152352305.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 660769 + ... + 798072.

It is an arithmetic number, because the mean of its divisors is an integer number (7035994966).

Almost surely, 2100152352332 is an apocalyptic number.

100152352332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100152352332 is an abundant number, since it is smaller than the sum of its proper divisors (153143466444).

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

100152352332 is a wasteful number, since it uses less digits than its factorization.

100152352332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460758 (or 1460753 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 100152352332 in words is "one hundred billion, one hundred fifty-two million, three hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1907 3814 5721 7628 11442 17163 22884 34326 68652 1458841 2917682 4376523 5835364 8753046 13129569 17506092 26259138 52518276 2782009787 5564019574 8346029361 11128039148 16692058722 25038088083 33384117444 50076176166 100152352332