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102211122012 = 2238517593501
BaseRepresentation
bin101111100110001000…
…0011111001101011100
3100202211021020222102120
41133030100133031130
53133312021401022
6114542151022540
710245613126236
oct1371420371534
9322737228376
10102211122012
113a39057186a
121798636aa50
13983b93656c
144d38995256
1529d3401d5c
hex17cc41f35c

102211122012 has 12 divisors (see below), whose sum is σ = 238492618056. Its totient is φ = 34070374000.

The previous prime is 102211122001. The next prime is 102211122023. The reversal of 102211122012 is 210221112201.

It is an interprime number because it is at equal distance from previous prime (102211122001) and next prime (102211122023).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1022111220122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211121982 and 102211122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4258796739 + ... + 4258796762.

It is an arithmetic number, because the mean of its divisors is an integer number (19874384838).

Almost surely, 2102211122012 is an apocalyptic number.

102211122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211122012 is an abundant number, since it is smaller than the sum of its proper divisors (136281496044).

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

102211122012 is a wasteful number, since it uses less digits than its factorization.

102211122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517593508 (or 8517593506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102211122012 its reverse (210221112201), we get a palindrome (312432234213).

It can be divided in two parts, 10221112201 and 2, that multiplied together give a palindrome (20442224402).

The spelling of 102211122012 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 8517593501 17035187002 25552780503 34070374004 51105561006 102211122012