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100058101 = 11133718911
BaseRepresentation
bin1011111011011…
…00001111110101
320222021110220121
411331230033311
5201103324401
613532331541
72323323403
oct575541765
9228243817
10100058101
1151531150
1229613bb1
13179640a0
14d408473
158bb6ca1
hex5f6c3f5

100058101 has 16 divisors (see below), whose sum is σ = 120734208. Its totient is φ = 81691200.

The previous prime is 100058083. The next prime is 100058113. The reversal of 100058101 is 101850001.

It is a cyclic number.

It is not a de Polignac number, because 100058101 - 25 = 100058069 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 (100058201) 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, 4165 + ... + 14746.

It is an arithmetic number, because the mean of its divisors is an integer number (7545888).

Almost surely, 2100058101 is an apocalyptic number.

100058101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100058101 is a deficient number, since it is larger than the sum of its proper divisors (20676107).

100058101 is a wasteful number, since it uses less digits than its factorization.

100058101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18972.

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 100058101 is about 10002.9046281568. The cubic root of 100058101 is about 464.2487596081.

The spelling of 100058101 in words is "one hundred million, fifty-eight thousand, one hundred one".

Divisors: 1 11 13 37 143 407 481 5291 18911 208021 245843 699707 2704273 7696777 9096191 100058101