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2100232112022 = 2321121861518159
BaseRepresentation
bin11110100011111111100…
…101101100011110010110
321102210001210020201001100
4132203333211230132112
5233402233410041042
64244455555010530
7304510465254012
oct36437745543626
97383053221040
102100232112022
1173a781302100
1229b057599a46
131230881924b5
147391a691542
15399727b624c
hex1e8ff96c796

2100232112022 has 72 divisors (see below), whose sum is σ = 5004489803040. Its totient is φ = 636090760800.

The previous prime is 2100232111981. The next prime is 2100232112023. The reversal of 2100232112022 is 2202112320012.

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 = 2100232111986 and 2100232112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100232112023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3794179 + ... + 4312337.

It is an arithmetic number, because the mean of its divisors is an integer number (69506802820).

Almost surely, 22100232112022 is an apocalyptic number.

2100232112022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100232112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502244901520).

2100232112022 is an abundant number, since it is smaller than the sum of its proper divisors (2904257691018).

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

2100232112022 is a wasteful number, since it uses less digits than its factorization.

2100232112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520050 (or 520036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2100232112022 its reverse (2202112320012), we get a palindrome (4302344432034).

The spelling of 2100232112022 in words is "two trillion, one hundred billion, two hundred thirty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1861 2178 3722 5583 11166 16749 20471 33498 40942 61413 122826 184239 225181 368478 450362 518159 675543 1036318 1351086 1554477 2026629 3108954 4053258 4663431 5699749 9326862 11399498 17099247 34198494 51297741 62697239 102595482 125394478 188091717 376183434 564275151 964293899 1128550302 1928587798 2892881697 5785763394 8678645091 10607232889 17357290182 21214465778 31821698667 63643397334 95465096001 116679561779 190930192002 233359123558 350038685337 700077370674 1050116056011 2100232112022