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101165355901 = 2415417691009
BaseRepresentation
bin101111000110111101…
…1001101001101111101
3100200010101110120000101
41132031323031031331
53124141312342101
6114250312401101
710210654223401
oct1361573151575
9320111416011
10101165355901
11399a422a255
12177340a6191
13970309414c
144c79b33101
1529716d0401
hex178decd37d

101165355901 has 16 divisors (see below), whose sum is σ = 102006242800. Its totient is φ = 100329062400.

The previous prime is 101165355833. The next prime is 101165355911. The reversal of 101165355901 is 109553561101.

It is the 129850-th star number.

It can be written as a sum of positive squares in 8 ways, for example, as 546343876 + 100619012025 = 23374^2 + 317205^2 .

It is a 9-Lehmer number, since φ(101165355901) divides (101165355901-1)9.

It is a cyclic number.

It is not a de Polignac number, because 101165355901 - 213 = 101165347709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101165355911) 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, 100262485 + ... + 100263493.

It is an arithmetic number, because the mean of its divisors is an integer number (6375390175).

Almost surely, 2101165355901 is an apocalyptic number.

It is an amenable number.

101165355901 is a deficient number, since it is larger than the sum of its proper divisors (840886899).

101165355901 is a wasteful number, since it uses less digits than its factorization.

101165355901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560.

The product of its (nonzero) digits is 20250, while the sum is 37.

The spelling of 101165355901 in words is "one hundred one billion, one hundred sixty-five million, three hundred fifty-five thousand, nine hundred one".

Divisors: 1 241 541 769 1009 130381 185329 243169 416029 545869 775921 100262989 131554429 186996961 419773261 101165355901