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102222312110321 = 1329508153364833
BaseRepresentation
bin10111001111100001111100…
…100110011111100011110001
3111101221100122200121201002112
4113033201330212133203301
5101344302243400012241
61001224140515455105
730350214121331534
oct2717417446374361
9441840580551075
10102222312110321
112a63126a28a957
12b56b4515b7495
1345066a43c9510
141b3582cb6aa1b
15bc40849521eb
hex5cf87c99f8f1

102222312110321 has 16 divisors (see below), whose sum is σ = 113904036282960. Its totient is φ = 91087364444160.

The previous prime is 102222312110297. The next prime is 102222312110419. The reversal of 102222312110321 is 123011213222201.

It can be written as a sum of positive squares in 8 ways, for example, as 7263348403600 + 94958963706721 = 2695060^2 + 9744689^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222312110321 - 222 = 102222307916017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102222312110621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24766880 + ... + 28597953.

It is an arithmetic number, because the mean of its divisors is an integer number (7119002267685).

Almost surely, 2102222312110321 is an apocalyptic number.

It is an amenable number.

102222312110321 is a deficient number, since it is larger than the sum of its proper divisors (11681724172639).

102222312110321 is a wasteful number, since it uses less digits than its factorization.

102222312110321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53369956.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 102222312110321 its reverse (123011213222201), we get a palindrome (225233525332522).

The spelling of 102222312110321 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred twelve million, one hundred ten thousand, three hundred twenty-one".

Divisors: 1 13 29 377 5081 66053 147349 1915537 53364833 693742829 1547580157 20118542041 271146716473 3524907314149 7863254777717 102222312110321