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101413169 = 11134779191
BaseRepresentation
bin1100000101101…
…11000100110001
321001211022201022
412002313010301
5201430210134
614021345225
72340666134
oct602670461
9231738638
10101413169
1152277240
1229b68215
1318019ac0
14d67c21b
158d8352e
hex60b7131

101413169 has 32 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 81806400.

The previous prime is 101413159. The next prime is 101413219. The reversal of 101413169 is 961314101.

101413169 = T285 + T286 + ... + T857.

It is a de Polignac number, because none of the positive numbers 2k-101413169 is a prime.

It is a super-2 number, since 2×1014131692 = 20569261693245122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101413139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530864 + ... + 531054.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2101413169 is an apocalyptic number.

It is an amenable number.

101413169 is a deficient number, since it is larger than the sum of its proper divisors (22449871).

101413169 is a wasteful number, since it uses less digits than its factorization.

101413169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 101413169 is about 10070.4105675985. The cubic root of 101413169 is about 466.3351138738.

The spelling of 101413169 in words is "one hundred one million, four hundred thirteen thousand, one hundred sixty-nine".

Divisors: 1 11 13 47 79 143 191 517 611 869 1027 2101 2483 3713 6721 8977 11297 15089 27313 40843 48269 98747 116701 165979 196157 530959 709183 1283711 2157727 7801013 9219379 101413169