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122002100022 = 231167105126251
BaseRepresentation
bin111000110011111100…
…1000100111100110110
3102122220112110211102010
41301213321010330312
53444330014200042
6132014052225050
711546216511465
oct1614771047466
9378815424363
10122002100022
1147817006540
121b78a30b186
13b673c1853a
145c951ca9dc
153290b3059c
hex1c67e44f36

122002100022 has 64 divisors (see below), whose sum is σ = 270426682368. Its totient is φ = 36382500000.

The previous prime is 122002100009. The next prime is 122002100119. The reversal of 122002100022 is 220001200221.

It is a junction number, because it is equal to n+sod(n) for n = 122002099980 and 122002100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4634397 + ... + 4660647.

It is an arithmetic number, because the mean of its divisors is an integer number (4225416912).

Almost surely, 2122002100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135213341184).

122002100022 is an abundant number, since it is smaller than the sum of its proper divisors (148424582346).

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

122002100022 is a wasteful number, since it uses less digits than its factorization.

122002100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27385.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122002100022 its reverse (220001200221), we get a palindrome (342003300243).

The spelling of 122002100022 in words is "one hundred twenty-two billion, two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1051 1474 2102 2211 3153 4422 6306 11561 23122 26251 34683 52502 69366 70417 78753 140834 157506 211251 288761 422502 577522 774587 866283 1549174 1732566 1758817 2323761 3517634 4647522 5276451 10552902 19346987 27589801 38693974 55179602 58040961 82769403 116081922 165538806 303487811 606975622 910463433 1820926866 1848516667 3697033334 5545550001 11091100002 20333683337 40667366674 61001050011 122002100022