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102434113332 = 22324616172217
BaseRepresentation
bin101111101100110001…
…1001000011100110100
3100210101210212010000100
41133121203020130310
53134241113111312
6115020234314100
710254261411555
oct1373143103464
9323353763010
10102434113332
113a495428511
1217a28b88930
139875bb06a5
144d5a44032c
1529e7c9d5dc
hex17d98c8734

102434113332 has 36 divisors (see below), whose sum is σ = 259492389156. Its totient is φ = 34070632320.

The previous prime is 102434113289. The next prime is 102434113363. The reversal of 102434113332 is 233311434201.

It is a happy number.

102434113332 is a `hidden beast` number, since 1 + 0 + 243 + 411 + 3 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41944678416 + 60489434916 = 204804^2 + 245946^2 .

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

It is a super-2 number, since 2×1024341133322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102434113296 and 102434113305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3069513 + ... + 3102704.

It is an arithmetic number, because the mean of its divisors is an integer number (7208121921).

Almost surely, 2102434113332 is an apocalyptic number.

102434113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102434113332 is an abundant number, since it is smaller than the sum of its proper divisors (157058275824).

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

102434113332 is a wasteful number, since it uses less digits than its factorization.

102434113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172688 (or 6172683 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102434113332 its reverse (233311434201), we get a palindrome (335745547533).

The spelling of 102434113332 in words is "one hundred two billion, four hundred thirty-four million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 16596 6172217 12344434 18516651 24688868 37033302 55549953 74066604 111099906 222199812 2845392037 5690784074 8536176111 11381568148 17072352222 25608528333 34144704444 51217056666 102434113332