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102212211012 = 22330271281381
BaseRepresentation
bin101111100110001010…
…0101001000101000100
3100202211100022022020220
41133030110221011010
53133312311223022
6114542230224340
710245625313202
oct1371424510504
9322740268226
10102212211012
113a391145a6a
12179867b50b0
13983bc28142
144d38b9a072
1529d356985c
hex17cc529144

102212211012 has 24 divisors (see below), whose sum is σ = 238503885312. Its totient is φ = 34069490400.

The previous prime is 102212211011. The next prime is 102212211047. The reversal of 102212211012 is 210112212201.

It is a super-4 number, since 4×1022122110124 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102212210982 and 102212211000.

It is not an unprimeable number, because it can be changed into a prime (102212211011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222562 + ... + 503942.

It is an arithmetic number, because the mean of its divisors is an integer number (9937661888).

Almost surely, 2102212211012 is an apocalyptic number.

102212211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212211012 is an abundant number, since it is smaller than the sum of its proper divisors (136291674300).

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

102212211012 is a wasteful number, since it uses less digits than its factorization.

102212211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311659 (or 311657 counting only the distinct ones).

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

Adding to 102212211012 its reverse (210112212201), we get a palindrome (312324423213).

The spelling of 102212211012 in words is "one hundred two billion, two hundred twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 30271 60542 90813 121084 181626 281381 363252 562762 844143 1125524 1688286 3376572 8517684251 17035368502 25553052753 34070737004 51106105506 102212211012