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102346000038 = 2331895296297
BaseRepresentation
bin101111101010001001…
…1000000011010100110
3100210011200001111022000
41133110103000122212
53134101034000123
6115003405550130
710252141434522
oct1372423003246
9323150044260
10102346000038
113a44a715707
1217a03575346
13986086c449
144d4c864d82
1529e0195b43
hex17d44c06a6

102346000038 has 16 divisors (see below), whose sum is σ = 227435555760. Its totient is φ = 34115333328.

The previous prime is 102346000037. The next prime is 102346000111. The reversal of 102346000038 is 830000643201.

It is a happy number.

102346000038 is a `hidden beast` number, since 1 + 0 + 23 + 4 + 600 + 0 + 0 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102345999975 and 102346000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102346000037) 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 7 ways as a sum of consecutive naturals, for example, 947648095 + ... + 947648202.

It is an arithmetic number, because the mean of its divisors is an integer number (14214722235).

Almost surely, 2102346000038 is an apocalyptic number.

102346000038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102346000038 is an abundant number, since it is smaller than the sum of its proper divisors (125089555722).

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

102346000038 is a wasteful number, since it uses less digits than its factorization.

102346000038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895296308 (or 1895296302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102346000038 its reverse (830000643201), we get a palindrome (932346643239).

The spelling of 102346000038 in words is "one hundred two billion, three hundred forty-six million, thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 1895296297 3790592594 5685888891 11371777782 17057666673 34115333346 51173000019 102346000038