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102121023202031 = 1574177155722379
BaseRepresentation
bin10111001110000011100111…
…010011111110001011101111
3111101120200012200200001001202
4113032003213103332023233
5101341122323414431111
61001105430031000115
730340000103660111
oct2716034723761357
9441520180601052
10102121023202031
112a5a2312342999
12b5538a406903b
1344c9c81866562
141b309808753b1
15bc16074b8b3b
hex5ce0e74fe2ef

102121023202031 has 8 divisors (see below), whose sum is σ = 102796080375120. Its totient is φ = 101446277482368.

The previous prime is 102121023201973. The next prime is 102121023202057. The reversal of 102121023202031 is 130202320121201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102121023202031 is a prime.

It is a super-2 number, since 2×1021210232020312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102121023201994 and 102121023202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121023202631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77205401 + ... + 78516978.

It is an arithmetic number, because the mean of its divisors is an integer number (12849510046890).

Almost surely, 2102121023202031 is an apocalyptic number.

102121023202031 is a deficient number, since it is larger than the sum of its proper divisors (675057173089).

102121023202031 is a wasteful number, since it uses less digits than its factorization.

102121023202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155726713.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102121023202031 its reverse (130202320121201), we get a palindrome (232323343323232).

The spelling of 102121023202031 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-three million, two hundred two thousand, thirty-one".

Divisors: 1 157 4177 655789 155722379 24448413503 650452377083 102121023202031