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22100112122022 = 23311286871296949
BaseRepresentation
bin1010000011001100101010…
…10101010010000010100110
32220020202020210221002101000
411001212111111102002212
510344042012200401042
6115000352405214130
74440452244355554
oct501462525220246
986222223832330
1022100112122022
117050672164950
12258b196a01346
13c44054653a1c
145659189d6bd4
15284d1bd4974c
hex1419955520a6

22100112122022 has 64 divisors (see below), whose sum is σ = 53577938304000. Its totient is φ = 6696765059040.

The previous prime is 22100112122017. The next prime is 22100112122029. The reversal of 22100112122022 is 22022121100122.

It is a happy number.

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 = 22100112121986 and 22100112122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100112122029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16391604 + ... + 17688552.

It is an arithmetic number, because the mean of its divisors is an integer number (837155286000).

Almost surely, 222100112122022 is an apocalyptic number.

22100112122022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22100112122022 is an abundant number, since it is smaller than the sum of its proper divisors (31477826181978).

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

22100112122022 is a wasteful number, since it uses less digits than its factorization.

22100112122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325658 (or 1325652 counting only the distinct ones).

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

Adding to 22100112122022 its reverse (22022121100122), we get a palindrome (44122233222144).

The spelling of 22100112122022 in words is "twenty-two trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 28687 57374 86061 172122 258183 315557 516366 631114 774549 946671 1296949 1549098 1893342 2593898 2840013 3890847 5680026 7781694 8520039 11672541 14266439 17040078 23345082 28532878 35017623 42799317 70035246 85598634 128397951 256795902 385193853 770387706 37205575963 74411151926 111616727889 223233455778 334850183667 409261335593 669700367334 818522671186 1004550551001 1227784006779 2009101102002 2455568013558 3683352020337 7366704040674 11050056061011 22100112122022