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102212322132 = 22319349938839
BaseRepresentation
bin101111100110001010…
…1000100001101010100
3100202211100111221200110
41133030111010031110
53133312323302012
6114542232443020
710245626255154
oct1371425041524
9322740457613
10102212322132
113a3912114a8
1217986849470
13983bc668ab
144d38bc8764
1529d358c73c
hex17cc544354

102212322132 has 48 divisors (see below), whose sum is σ = 239806286720. Its totient is φ = 33883619328.

The previous prime is 102212322127. The next prime is 102212322137. The reversal of 102212322132 is 231223212201.

It is an interprime number because it is at equal distance from previous prime (102212322127) and next prime (102212322137).

It is a junction number, because it is equal to n+sod(n) for n = 102212322099 and 102212322108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212322137) 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 15 ways as a sum of consecutive naturals, for example, 11559369 + ... + 11568207.

Almost surely, 2102212322132 is an apocalyptic number.

102212322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212322132 is an abundant number, since it is smaller than the sum of its proper divisors (137593964588).

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

102212322132 is a wasteful number, since it uses less digits than its factorization.

102212322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14032 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102212322132 its reverse (231223212201), we get a palindrome (333435534333).

The spelling of 102212322132 in words is "one hundred two billion, two hundred twelve million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 193 386 579 772 1158 2316 4993 8839 9986 14979 17678 19972 26517 29958 35356 53034 59916 106068 963649 1705927 1927298 2890947 3411854 3854596 5117781 5781894 6823708 10235562 11563788 20471124 44133127 88266254 132399381 176532508 264798762 529597524 8517693511 17035387022 25553080533 34070774044 51106161066 102212322132