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102102202022022 = 232137118673489001
BaseRepresentation
bin10111001101110010000101…
…011110110111100010000110
3111101111212122000022000211200
4113031302011132313202012
5101340320302204201042
61001053034251443330
730335432514406146
oct2715620536674206
9441455560260750
10102102202022022
112a595334273874
12b550110a56546
1344c8272478857
141b2dab6d68926
15bc0da4ea2c4c
hex5cdc857b7886

102102202022022 has 48 divisors (see below), whose sum is σ = 222855034411152. Its totient is φ = 33782786784000.

The previous prime is 102102202022021. The next prime is 102102202022059. The reversal of 102102202022022 is 220220202201201.

102102202022022 is a `hidden beast` number, since 10 + 210 + 2 + 202 + 0 + 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 = 102102202021986 and 102102202022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102202022021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27519522 + ... + 31008522.

It is an arithmetic number, because the mean of its divisors is an integer number (4642813216899).

Almost surely, 2102102202022022 is an apocalyptic number.

102102202022022 is an abundant number, since it is smaller than the sum of its proper divisors (120752832389130).

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

102102202022022 is a wasteful number, since it uses less digits than its factorization.

102102202022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501013 (or 3501010 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102102202022022 its reverse (220220202201201), we get a palindrome (322322404223223).

The spelling of 102102202022022 in words is "one hundred two trillion, one hundred two billion, two hundred two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 11867 23734 35601 71202 106803 213606 1625779 3251558 3489001 4877337 6978002 9754674 10467003 14632011 20934006 29264022 31401009 62802018 477993137 955986274 1433979411 2867958822 4301938233 8603876466 41403974867 82807949734 124211924601 248423849202 372635773803 745271547606 5672344556779 11344689113558 17017033670337 34034067340674 51051101011011 102102202022022