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103035896832 = 2103118093769
BaseRepresentation
bin101111111110101101…
…0110000010000000000
3100211221202012212210010
41133331122300100000
53142004142144312
6115200052504520
710305216446451
oct1377532602000
9324852185703
10103035896832
113a774094350
1217b7661b140
139940781cbb
144db632d128
152a30a1e93c
hex17fd6b0400

103035896832 has 176 divisors, whose sum is σ = 300044347200. Its totient is φ = 31176130560.

The previous prime is 103035896797. The next prime is 103035896863. The reversal of 103035896832 is 238698530301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27335844 + ... + 27339612.

Almost surely, 2103035896832 is an apocalyptic number.

103035896832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103035896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150022173600).

103035896832 is an abundant number, since it is smaller than the sum of its proper divisors (197008450368).

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

103035896832 is a wasteful number, since it uses less digits than its factorization.

103035896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 103035896832 in words is "one hundred three billion, thirty-five million, eight hundred ninety-six thousand, eight hundred thirty-two".