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102220323012 = 223218757151381
BaseRepresentation
bin101111100110011001…
…1100101100011000100
3100202211220120102211100
41133030303211203010
53133321400314022
6114543120140100
710246054260303
oct1371463454304
9322756512740
10102220323012
113a3957866a5
1217989467630
139840808542
144d39cac43a
1529d411d1ac
hex17ccce58c4

102220323012 has 36 divisors (see below), whose sum is σ = 258405743596. Its totient is φ = 34071399360.

The previous prime is 102220322957. The next prime is 102220323047. The reversal of 102220323012 is 210323022201.

102220323012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55916169156 + 46304153856 = 236466^2 + 215184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1022203230123 (a number of 34 digits) contains 333 as substring.

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

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, 599562 + ... + 750942.

Almost surely, 2102220323012 is an apocalyptic number.

102220323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220323012 is an abundant number, since it is smaller than the sum of its proper divisors (156185420584).

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

102220323012 is a wasteful number, since it uses less digits than its factorization.

102220323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170148 (or 170143 counting only the distinct ones).

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

Adding to 102220323012 its reverse (210323022201), we get a palindrome (312543345213).

The spelling of 102220323012 in words is "one hundred two billion, two hundred twenty million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 18757 37514 56271 75028 112542 151381 168813 225084 302762 337626 454143 605524 675252 908286 1362429 1816572 2724858 5449716 2839453417 5678906834 8518360251 11357813668 17036720502 25555080753 34073441004 51110161506 102220323012