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102132023121 = 3331612000353
BaseRepresentation
bin101111100011110001…
…0101111111101010001
3100202121202102100011000
41133013202233331101
53133131244214441
6114530243412213
710243632605232
oct1370742577521
9322552370130
10102132023121
113a34a956687
1217963984069
13982843039b
144d2c285089
1529cb4ca2b6
hex17c78aff51

102132023121 has 32 divisors (see below), whose sum is σ = 158748093440. Its totient is φ = 64811404800.

The previous prime is 102132023111. The next prime is 102132023137. The reversal of 102132023121 is 121320231201.

102132023121 is a `hidden beast` number, since 10 + 21 + 320 + 2 + 312 + 1 = 666.

It is not a de Polignac number, because 102132023121 - 211 = 102132021073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102132023094 and 102132023103.

It is not an unprimeable number, because it can be changed into a prime (102132023111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949120 + ... + 1051233.

It is an arithmetic number, because the mean of its divisors is an integer number (4960877920).

Almost surely, 2102132023121 is an apocalyptic number.

It is an amenable number.

102132023121 is a deficient number, since it is larger than the sum of its proper divisors (56616070319).

102132023121 is a wasteful number, since it uses less digits than its factorization.

102132023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000454 (or 2000448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102132023121 its reverse (121320231201), we get a palindrome (223452254322).

The spelling of 102132023121 in words is "one hundred two billion, one hundred thirty-two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 61 93 183 279 549 837 1647 1891 5673 17019 51057 2000353 6001059 18003177 54009531 62010943 122021533 186032829 366064599 558098487 1098193797 1674295461 3294581391 3782667523 11348002569 34044007707 102132023121