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100032223122 = 23213427488133
BaseRepresentation
bin101110100101001100…
…0101001011110010010
3100120012102021110001200
41131022120221132102
53114331222114442
6113542033412030
710140614603316
oct1351230513622
9316172243050
10100032223122
1139472644887
121747870a016
1395823b2590
144bad44bb46
152906ea234c
hex174a629792

100032223122 has 24 divisors (see below), whose sum is σ = 233408521164. Its totient is φ = 30779145504.

The previous prime is 100032223111. The next prime is 100032223127. The reversal of 100032223122 is 221322230001.

It can be written as a sum of positive squares in 2 ways, for example, as 99363017961 + 669205161 = 315219^2 + 25869^2 .

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 = 100032223095 and 100032223104.

It is not an unprimeable number, because it can be changed into a prime (100032223127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213743833 + ... + 213744300.

Almost surely, 2100032223122 is an apocalyptic number.

100032223122 is an abundant number, since it is smaller than the sum of its proper divisors (133376298042).

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

100032223122 is a wasteful number, since it uses less digits than its factorization.

100032223122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427488154 (or 427488151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100032223122 its reverse (221322230001), we get a palindrome (321354453123).

The spelling of 100032223122 in words is "one hundred billion, thirty-two million, two hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 427488133 854976266 1282464399 2564928798 3847393197 5557345729 7694786394 11114691458 16672037187 33344074374 50016111561 100032223122