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101912593 = 3141181443
BaseRepresentation
bin1100001001100…
…01000000010001
321002202200210111
412010301000101
5202042200333
614040201321
72345146156
oct604610021
9232680714
10101912593
1152588492
122a169241
1318163213
14d76c22d
158e314cd
hex6131011

101912593 has 16 divisors (see below), whose sum is σ = 108605952. Its totient is φ = 95472000.

The previous prime is 101912567. The next prime is 101912611. The reversal of 101912593 is 395219101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101912593 is a prime.

It is a super-2 number, since 2×1019125932 = 20772353223967298, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101912543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229830 + ... + 230272.

It is an arithmetic number, because the mean of its divisors is an integer number (6787872).

Almost surely, 2101912593 is an apocalyptic number.

It is an amenable number.

101912593 is a deficient number, since it is larger than the sum of its proper divisors (6693359).

101912593 is a wasteful number, since it uses less digits than its factorization.

101912593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 101912593 is about 10095.1767196023. The cubic root of 101912593 is about 467.0993725257.

The spelling of 101912593 in words is "one hundred one million, nine hundred twelve thousand, five hundred ninety-three".

Divisors: 1 31 41 181 443 1271 5611 7421 13733 18163 80183 230051 563053 2485673 3287503 101912593