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100022011122 = 23111738760029
BaseRepresentation
bin101110100100111000…
…1101100010011110010
3100120011201001121211110
41131021301230103302
53114321113323442
6113541030454150
710140432031605
oct1351161542362
9316151047743
10100022011122
11394678aa410
1217475204356
139580248387
144babd5033c
15290613669c
hex1749c6c4f2

100022011122 has 32 divisors (see below), whose sum is σ = 219491311680. Its totient is φ = 30134496320.

The previous prime is 100022011109. The next prime is 100022011129. The reversal of 100022011122 is 221110220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022011098 and 100022011107.

It is not an unprimeable number, because it can be changed into a prime (100022011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4368597 + ... + 4391432.

It is an arithmetic number, because the mean of its divisors is an integer number (6859103490).

Almost surely, 2100022011122 is an apocalyptic number.

100022011122 is an abundant number, since it is smaller than the sum of its proper divisors (119469300558).

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

100022011122 is a wasteful number, since it uses less digits than its factorization.

100022011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760218.

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

Adding to 100022011122 its reverse (221110220001), we get a palindrome (321132231123).

The spelling of 100022011122 in words is "one hundred billion, twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 173 346 519 1038 1903 3806 5709 11418 8760029 17520058 26280087 52560174 96360319 192720638 289080957 578161914 1515485017 3030970034 4546455051 9092910102 16670335187 33340670374 50011005561 100022011122