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102224121033121 = 312106372654561
BaseRepresentation
bin10111001111100011101000…
…011010111111000110100001
3111101221112022202102111200021
4113033203220122333012201
5101344314444441024441
61001225040215153441
730350310005041123
oct2717435032770641
9441845282374607
10102224121033121
112a63200838937a
12b56b877375881
1345069020c1a39
141b359610c7213
15bc413d66e3d1
hex5cf8e86bf1a1

102224121033121 has 6 divisors (see below), whose sum is σ = 105628045980066. Its totient is φ = 98926568740800.

The previous prime is 102224121033107. The next prime is 102224121033131. The reversal of 102224121033121 is 121330121422201.

It can be written as a sum of positive squares in only one way, i.e., 88837486532496 + 13386634500625 = 9425364^2 + 3658775^2 .

It is not a de Polignac number, because 102224121033121 - 223 = 102224112644513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102224121033131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53186326320 + ... + 53186328241.

It is an arithmetic number, because the mean of its divisors is an integer number (17604674330011).

Almost surely, 2102224121033121 is an apocalyptic number.

It is an amenable number.

102224121033121 is a deficient number, since it is larger than the sum of its proper divisors (3403924946945).

102224121033121 is an equidigital number, since it uses as much as digits as its factorization.

102224121033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106372654623 (or 106372654592 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 102224121033121 its reverse (121330121422201), we get a palindrome (223554242455322).

The spelling of 102224121033121 in words is "one hundred two trillion, two hundred twenty-four billion, one hundred twenty-one million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 31 961 106372654561 3297552291391 102224121033121