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102022110122022 = 2336253330212821
BaseRepresentation
bin10111001100100111011111…
…101000100001000000100110
3111101020012220021020221202000
4113030213133220201000212
5101333012240142401042
61000552151012230130
730326565665446416
oct2714473750410046
9441205807227660
10102022110122022
112a5643744a8982
12b53869a30b346
1344c084a2a804c
141b29c79d0a646
15bbdc688ce74c
hex5cc9dfa21026

102022110122022 has 32 divisors (see below), whose sum is σ = 226719433313760. Its totient is φ = 34006825084320.

The previous prime is 102022110122017. The next prime is 102022110122129. The reversal of 102022110122022 is 220221011220201.

It is a happy number.

102022110122022 is a `hidden beast` number, since 10 + 202 + 211 + 0 + 1 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102022110121986 and 102022110122004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11729629 + ... + 18483192.

It is an arithmetic number, because the mean of its divisors is an integer number (7084982291055).

Almost surely, 2102022110122022 is an apocalyptic number.

102022110122022 is an abundant number, since it is smaller than the sum of its proper divisors (124697323191738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022110122022 is a wasteful number, since it uses less digits than its factorization.

102022110122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30275365 (or 30275359 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022110122022 its reverse (220221011220201), we get a palindrome (322243121342223).

The spelling of 102022110122022 in words is "one hundred two trillion, twenty-two billion, one hundred ten million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 62533 125066 187599 375198 562797 1125594 1688391 3376782 30212821 60425642 90638463 181276926 271915389 543830778 815746167 1631492334 1889298335593 3778596671186 5667895006779 11335790013558 17003685020337 34007370040674 51011055061011 102022110122022