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102222022212 = 22325077755921
BaseRepresentation
bin101111100110011101…
…0000100011001000100
3100202212000202202200200
41133030322010121010
53133322314202322
6114543220410500
710246104565242
oct1371472043104
9322760682620
10102222022212
113a3967372a2
1217989b46a30
139840c81a9b
144d3a1d1792
1529d43568ac
hex17cce84644

102222022212 has 36 divisors (see below), whose sum is σ = 258404265756. Its totient is φ = 34072727040.

The previous prime is 102222022171. The next prime is 102222022213. The reversal of 102222022212 is 212220222201.

It can be written as a sum of positive squares in 2 ways, for example, as 95466168576 + 6755853636 = 308976^2 + 82194^2 .

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

It is a super-2 number, since 2×1022220222122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102222022213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800012 + ... + 1855932.

It is an arithmetic number, because the mean of its divisors is an integer number (7177896271).

Almost surely, 2102222022212 is an apocalyptic number.

102222022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222022212 is an abundant number, since it is smaller than the sum of its proper divisors (156182243544).

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

102222022212 is a wasteful number, since it uses less digits than its factorization.

102222022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106708 (or 106703 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102222022212 its reverse (212220222201), we get a palindrome (314442244413).

The spelling of 102222022212 in words is "one hundred two billion, two hundred twenty-two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 50777 55921 101554 111842 152331 167763 203108 223684 304662 335526 456993 503289 609324 671052 913986 1006578 1827972 2013156 2839500617 5679001234 8518501851 11358002468 17037003702 25555505553 34074007404 51111011106 102222022212