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100012222021122 = 23289121635132747
BaseRepresentation
bin10110101111010111101000…
…111101110111111000000010
3111010010002000201012112100200
4112233113220331313320002
5101102100012314133442
6552412551443030030
730031434044461005
oct2657275075677002
9433102021175320
10100012222021122
1129959a44021584
12b27305696b316
1343a615c2a50c8
141a9a89010553c
15b8683279934c
hex5af5e8f77e02

100012222021122 has 48 divisors (see below), whose sum is σ = 219145960818720. Its totient is φ = 32960113217856.

The previous prime is 100012222021097. The next prime is 100012222021123. The reversal of 100012222021122 is 221120222210001.

It is a happy number.

It is a super-2 number, since 2×1000122220211222 (a number of 29 digits) contains 22 as substring.

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 = 100012222021095 and 100012222021104.

It is not an unprimeable number, because it can be changed into a prime (100012222021123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16918753 + ... + 22051499.

It is an arithmetic number, because the mean of its divisors is an integer number (4565540850390).

Almost surely, 2100012222021122 is an apocalyptic number.

100012222021122 is an abundant number, since it is smaller than the sum of its proper divisors (119133738797598).

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

100012222021122 is a wasteful number, since it uses less digits than its factorization.

100012222021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145007 (or 5145004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100012222021122 its reverse (221120222210001), we get a palindrome (321132444231123).

The spelling of 100012222021122 in words is "one hundred trillion, twelve billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 12163 24326 36489 72978 109467 218934 1082507 2165014 3247521 5132747 6495042 9742563 10265494 15398241 19485126 30796482 46194723 92389446 456814483 913628966 1370443449 2740886898 4111330347 8222660694 62429601761 124859203522 187288805283 374577610566 561866415849 1123732831698 5556234556729 11112469113458 16668703670187 33337407340374 50006111010561 100012222021122