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102120113322 = 23229195632401
BaseRepresentation
bin101111100011011010…
…1010100010010101010
3100202120221000020222100
41133012311110102222
53133120222111242
6114525140234230
710243426432623
oct1370665242252
9322527006870
10102120113322
113a344161677
121795b99b976
139825b20476
144d2a864a4a
1529ca42654c
hex17c6d544aa

102120113322 has 24 divisors (see below), whose sum is σ = 228889910340. Its totient is φ = 32866243200.

The previous prime is 102120113317. The next prime is 102120113341. The reversal of 102120113322 is 223311021201.

It can be written as a sum of positive squares in 2 ways, for example, as 89197198281 + 12922915041 = 298659^2 + 113679^2 .

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 = 102120113295 and 102120113304.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 97815679 + ... + 97816722.

Almost surely, 2102120113322 is an apocalyptic number.

102120113322 is an abundant number, since it is smaller than the sum of its proper divisors (126769797018).

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

102120113322 is a wasteful number, since it uses less digits than its factorization.

102120113322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195632438 (or 195632435 counting only the distinct ones).

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

Adding to 102120113322 its reverse (223311021201), we get a palindrome (325431134523).

The spelling of 102120113322 in words is "one hundred two billion, one hundred twenty million, one hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 195632401 391264802 586897203 1173794406 1760691609 3521383218 5673339629 11346679258 17020018887 34040037774 51060056661 102120113322