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101210101122 = 23132711405813
BaseRepresentation
bin101111001000010010…
…1111001010110000010
3100200020111122211220210
41132100211321112002
53124234241213442
6114254551414550
710212036444054
oct1362045712602
9320214584823
10101210101122
1139a17510a79
1217747084456
13970c42c800
144c81a5d8d4
1529755bd19c
hex1790979582

101210101122 has 48 divisors (see below), whose sum is σ = 222276063168. Its totient is φ = 30702934080.

The previous prime is 101210101081. The next prime is 101210101219. The reversal of 101210101122 is 221101012101.

101210101122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101210101098 and 101210101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630913 + ... + 774900.

It is an arithmetic number, because the mean of its divisors is an integer number (4630751316).

Almost surely, 2101210101122 is an apocalyptic number.

101210101122 is an abundant number, since it is smaller than the sum of its proper divisors (121065962046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101210101122 is a wasteful number, since it uses less digits than its factorization.

101210101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405915 (or 1405902 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101210101122 its reverse (221101012101), we get a palindrome (322311113223).

The spelling of 101210101122 in words is "one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 338 426 507 923 1014 1846 2769 5538 11999 23998 35997 71994 1405813 2811626 4217439 8434878 18275569 36551138 54826707 99812723 109653414 199625446 237582397 299438169 475164794 598876338 712747191 1297565399 1425494382 2595130798 3892696197 7785392394 16868350187 33736700374 50605050561 101210101122