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101122200201 = 31157720172633
BaseRepresentation
bin101111000101101011…
…0100101001010001001
3100200000101021000112010
41132023112211022021
53124044240401301
6114242131410133
710206621343131
oct1361326451211
9320011230463
10101122200201
1139981933790
1217721753949
1396c7164129
144c740dbac1
15296ca085d6
hex178b5a5289

101122200201 has 32 divisors (see below), whose sum is σ = 147470790528. Its totient is φ = 61126410240.

The previous prime is 101122200149. The next prime is 101122200227. The reversal of 101122200201 is 102002221101.

It is not a de Polignac number, because 101122200201 - 214 = 101122183817 is a prime.

It is a super-2 number, since 2×1011222002012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122200241) 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, 38404381 + ... + 38407013.

It is an arithmetic number, because the mean of its divisors is an integer number (4608462204).

Almost surely, 2101122200201 is an apocalyptic number.

101122200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122200201 is a deficient number, since it is larger than the sum of its proper divisors (46348590327).

101122200201 is a wasteful number, since it uses less digits than its factorization.

101122200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101122200201 its reverse (102002221101), we get a palindrome (203124421302).

The spelling of 101122200201 in words is "one hundred one billion, one hundred twenty-two million, two hundred thousand, two hundred one".

Divisors: 1 3 11 33 577 1731 2017 2633 6051 6347 7899 19041 22187 28963 66561 86889 1163809 1519241 3491427 4557723 5310761 12801899 15932283 16711651 38405697 50134953 58418371 175255113 3064309097 9192927291 33707400067 101122200201