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102221311103231 = 9472153318115761
BaseRepresentation
bin10111001111100001000000…
…111011111101000011111111
3111101221021001221001021111212
4113033201000323331003333
5101344243221120300411
61001223453320435035
730350150245034525
oct2717410073750377
9441837057037455
10102221311103231
112a6308a6239471
12b56b212318a7b
134506574bc8b28
141b35775c3a315
15bc4026b2268b
hex5cf840efd0ff

102221311103231 has 16 divisors (see below), whose sum is σ = 102415463490528. Its totient is φ = 102027380505600.

The previous prime is 102221311103209. The next prime is 102221311103269. The reversal of 102221311103231 is 132301113122201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102221311103231 - 214 = 102221311086847 is a prime.

It is a super-2 number, since 2×1022213111032312 (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 = 102221311103197 and 102221311103206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221311105231) 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, 6485704391 + ... + 6485720151.

It is an arithmetic number, because the mean of its divisors is an integer number (6400966468158).

Almost surely, 2102221311103231 is an apocalyptic number.

102221311103231 is a deficient number, since it is larger than the sum of its proper divisors (194152387297).

102221311103231 is a wasteful number, since it uses less digits than its factorization.

102221311103231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22042.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 102221311103231 its reverse (132301113122201), we get a palindrome (234522424225432).

The spelling of 102221311103231 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred eleven million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 947 2153 3181 15761 2038891 3012407 6848693 14925667 33933433 50135741 6485712271 32134961051 47478546727 107942250373 102221311103231