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110022133122 = 232111493729311
BaseRepresentation
bin110011001110111010…
…1001000010110000010
3101111222122001110022100
41212131311020112002
53300311131224442
6122313220051230
710643310462336
oct1463565102602
9344878043270
10110022133122
1142729698050
12193a6233b16
13a4b4c79225
14547a1057c6
152cde01a84c
hex199dd48582

110022133122 has 48 divisors (see below), whose sum is σ = 261797702400. Its totient is φ = 33116272800.

The previous prime is 110022133121. The next prime is 110022133163. The reversal of 110022133122 is 221331220011.

110022133122 is a `hidden beast` number, since 110 + 0 + 221 + 331 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110022133095 and 110022133104.

It is not an unprimeable number, because it can be changed into a prime (110022133121) by changing a digit.

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, 1835154 + ... + 1894157.

It is an arithmetic number, because the mean of its divisors is an integer number (5454118800).

Almost surely, 2110022133122 is an apocalyptic number.

110022133122 is an abundant number, since it is smaller than the sum of its proper divisors (151775569278).

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

110022133122 is a wasteful number, since it uses less digits than its factorization.

110022133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729479 (or 3729476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110022133122 its reverse (221331220011), we get a palindrome (331353353133).

The spelling of 110022133122 in words is "one hundred ten billion, twenty-two million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 447 894 1341 1639 2682 3278 4917 9834 14751 29502 3729311 7458622 11187933 22375866 33563799 41022421 67127598 82044842 123067263 246134526 369201789 555667339 738403578 1111334678 1667002017 3334004034 5001006051 6112340729 10002012102 12224681458 18337022187 36674044374 55011066561 110022133122