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102652376121 = 3219975711477
BaseRepresentation
bin101111110011010001…
…1101111010000111001
3100210222000120000021100
41133212203233100321
53140213002013441
6115054032402013
710262551541331
oct1374643572071
9323860500240
10102652376121
113a597654589
1217a8a0a6309
1398ac190479
144d7b4180c1
152a0c013cb6
hex17e68ef439

102652376121 has 12 divisors (see below), whose sum is σ = 148349929572. Its totient is φ = 68400636576.

The previous prime is 102652376081. The next prime is 102652376137. The reversal of 102652376121 is 121673256201.

102652376121 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 2 + 37 + 612 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6590192400 + 96062183721 = 81180^2 + 309939^2 .

It is not a de Polignac number, because 102652376121 - 27 = 102652375993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102652375121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2837766 + ... + 2873711.

It is an arithmetic number, because the mean of its divisors is an integer number (12362494131).

Almost surely, 2102652376121 is an apocalyptic number.

It is an amenable number.

102652376121 is a deficient number, since it is larger than the sum of its proper divisors (45697553451).

102652376121 is a wasteful number, since it uses less digits than its factorization.

102652376121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713480 (or 5713477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 102652376121 in words is "one hundred two billion, six hundred fifty-two million, three hundred seventy-six thousand, one hundred twenty-one".

Divisors: 1 3 9 1997 5991 17973 5711477 17134431 51403293 11405819569 34217458707 102652376121