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102212220112 = 2417375780221
BaseRepresentation
bin101111100110001010…
…0101011010011010000
3100202211100022202201221
41133030110223103100
53133312312020422
6114542230334424
710245625351552
oct1371424532320
9322740282657
10102212220112
113a391151892
12179867ba414
13983bc2c322
144d38b9d4d2
1529d356c3c7
hex17cc52b4d0

102212220112 has 20 divisors (see below), whose sum is σ = 209685363876. Its totient is φ = 48099868160.

The previous prime is 102212220067. The next prime is 102212220113. The reversal of 102212220112 is 211022212201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87630208576 + 14582011536 = 296024^2 + 120756^2 .

It is a super-3 number, since 3×1022122201123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212220113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187889839 + ... + 187890382.

Almost surely, 2102212220112 is an apocalyptic number.

It is an amenable number.

102212220112 is an abundant number, since it is smaller than the sum of its proper divisors (107473143764).

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

102212220112 is a wasteful number, since it uses less digits than its factorization.

102212220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375780246 (or 375780240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212220112 its reverse (211022212201), we get a palindrome (313234432313).

The spelling of 102212220112 in words is "one hundred two billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 375780221 751560442 1503120884 3006241768 6012483536 6388263757 12776527514 25553055028 51106110056 102212220112