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100144849 = 731214887
BaseRepresentation
bin1011111100000…
…01011011010001
320222102212220111
411332001123101
5201114113344
613534241321
72324134330
oct576013321
9228385814
10100144849
1151590342
1229656241
131799470c
14d42bd17
158bd2834
hex5f816d1

100144849 has 12 divisors (see below), whose sum is σ = 118270272. Its totient is φ = 83063880.

The previous prime is 100144819. The next prime is 100144853. The reversal of 100144849 is 948441001.

It is a de Polignac number, because none of the positive numbers 2k-100144849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100144849.

It is not an unprimeable number, because it can be changed into a prime (100144819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 14170.

It is an arithmetic number, because the mean of its divisors is an integer number (9855856).

Almost surely, 2100144849 is an apocalyptic number.

It is an amenable number.

100144849 is a deficient number, since it is larger than the sum of its proper divisors (18125423).

100144849 is an equidigital number, since it uses as much as digits as its factorization.

100144849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14956 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 100144849 is about 10007.2398292436. The cubic root of 100144849 is about 464.3828850750.

The spelling of 100144849 in words is "one hundred million, one hundred forty-four thousand, eight hundred forty-nine".

Divisors: 1 7 31 217 961 6727 14887 104209 461497 3230479 14306407 100144849