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22122111121020 = 22325773158991743
BaseRepresentation
bin1010000011110101101001…
…00100110011011001111100
32220022212000221221000201200
411001322310210303121330
510344422040421333040
6115014431344135500
74442161351645101
oct501726444633174
986285027830650
1022122111121020
117059a31007459
1225934b6307590
13c4614c2151b1
14566a04596aa8
152856a832b630
hex141eb493367c

22122111121020 has 72 divisors (see below), whose sum is σ = 67190546981376. Its totient is φ = 5891597991552.

The previous prime is 22122111121003. The next prime is 22122111121037. The reversal of 22122111121020 is 2012111122122.

22122111121020 is a `hidden beast` number, since 2 + 212 + 211 + 11 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22122111121003) and next prime (22122111121037).

It is a super-2 number, since 2×221221111210202 (a number of 27 digits) contains 22 as substring.

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 = 22122111120984 and 22122111121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79356732 + ... + 79635011.

It is an arithmetic number, because the mean of its divisors is an integer number (933202041408).

Almost surely, 222122111121020 is an apocalyptic number.

22122111121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122111121020 is an abundant number, since it is smaller than the sum of its proper divisors (45068435860356).

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

22122111121020 is a wasteful number, since it uses less digits than its factorization.

22122111121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158992531 (or 158992526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22122111121020 its reverse (2012111122122), we get a palindrome (24134222243142).

The spelling of 22122111121020 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 773 1546 2319 3092 3865 4638 6957 7730 9276 11595 13914 15460 23190 27828 34785 46380 69570 139140 158991743 317983486 476975229 635966972 794958715 953950458 1430925687 1589917430 1907900916 2384876145 2861851374 3179834860 4769752290 5723702748 7154628435 9539504580 14309256870 28618513740 122900617339 245801234678 368701852017 491602469356 614503086695 737403704034 1106105556051 1229006173390 1474807408068 1843509260085 2212211112102 2458012346780 3687018520170 4424422224204 5530527780255 7374037040340 11061055560510 22122111121020