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102022010201982 = 23137919759837929
BaseRepresentation
bin10111001100100111011001…
…101011010110011101111110
3111101020012122022020111012210
4113030213121223112131332
5101333012034102430412
61000552133042441250
730326563343236353
oct2714473153263576
9441205568214183
10102022010201982
112a564323061532
12b538670963226
1344c0832691a70
141b29c6a93a62a
15bbdc5ec4383c
hex5cc9d9ad677e

102022010201982 has 64 divisors (see below), whose sum is σ = 222532756992000. Its totient is φ = 30992422825728.

The previous prime is 102022010201953. The next prime is 102022010201983. The reversal of 102022010201982 is 289102010220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022010201983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121335994 + ... + 122173922.

It is an arithmetic number, because the mean of its divisors is an integer number (3477074328000).

Almost surely, 2102022010201982 is an apocalyptic number.

102022010201982 is an abundant number, since it is smaller than the sum of its proper divisors (120510746790018).

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

102022010201982 is a wasteful number, since it uses less digits than its factorization.

102022010201982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857785.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 102022010201982 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 79 158 237 474 1027 2054 3081 6162 19759 39518 59277 118554 256867 513734 770601 837929 1541202 1560961 1675858 2513787 3121922 4682883 5027574 9365766 10893077 20292493 21786154 32679231 40584986 60877479 65358462 66196391 121754958 132392782 198589173 397178346 860553083 1721106166 2581659249 5163318498 16556639111 33113278222 49669917333 99339834666 215236308443 430472616886 645708925329 1291417850658 1307974489769 2615948979538 3923923469307 7847846938614 17003668366997 34007336733994 51011005100991 102022010201982