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100934831 = 1718132803
BaseRepresentation
bin1100000010000…
…10010010101111
321000221000120002
412001002102233
5201314403311
614003214515
72333634434
oct601022257
9230830502
10100934831
1151a7a918
122997743b
1317bb016a
14d595b8b
158cdb93b
hex60424af

100934831 has 8 divisors (see below), whose sum is σ = 107465904. Its totient is φ = 94469760.

The previous prime is 100934789. The next prime is 100934839. The reversal of 100934831 is 138439001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100934831 - 26 = 100934767 is a prime.

It is a super-2 number, since 2×1009348312 = 20375680217997122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100934794 and 100934803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100934839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13325 + ... + 19478.

It is an arithmetic number, because the mean of its divisors is an integer number (13433238).

Almost surely, 2100934831 is an apocalyptic number.

100934831 is a deficient number, since it is larger than the sum of its proper divisors (6531073).

100934831 is a wasteful number, since it uses less digits than its factorization.

100934831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33001.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 100934831 is about 10046.6328190096. The cubic root of 100934831 is about 465.6007666381.

The spelling of 100934831 in words is "one hundred million, nine hundred thirty-four thousand, eight hundred thirty-one".

Divisors: 1 17 181 3077 32803 557651 5937343 100934831