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2200101002022 = 2371127139744263
BaseRepresentation
bin100000000001000000001…
…111010001101100100110
321210022211211011222012010
4200001000033101230212
5242021301324031042
64402413515535050
7314644360646430
oct40010017215446
97708754158163
102200101002022
1177906a728330
122b648945a486
1312c612788151
14786b2143650
153c36a25359c
hex200403d1b26

2200101002022 has 128 divisors (see below), whose sum is σ = 5520203808768. Its totient is φ = 567899164800.

The previous prime is 2200101001993. The next prime is 2200101002053. The reversal of 2200101002022 is 2202001010022.

It is a junction number, because it is equal to n+sod(n) for n = 2200101001989 and 2200101002007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49683063 + ... + 49727325.

It is an arithmetic number, because the mean of its divisors is an integer number (43126592256).

Almost surely, 22200101002022 is an apocalyptic number.

2200101002022 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 2200101002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760101904384).

2200101002022 is an abundant number, since it is smaller than the sum of its proper divisors (3320102806746).

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

2200101002022 is a wasteful number, since it uses less digits than its factorization.

2200101002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44954.

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

Adding to 2200101002022 its reverse (2202001010022), we get a palindrome (4402102012044).

The spelling of 2200101002022 in words is "two trillion, two hundred billion, one hundred one million, two thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 271 397 462 542 794 813 1191 1626 1897 2382 2779 2981 3794 4367 5558 5691 5962 8337 8734 8943 11382 13101 16674 17886 20867 26202 30569 41734 44263 61138 62601 88526 91707 107587 125202 132789 183414 215174 265578 309841 322761 486893 619682 645522 753109 929523 973786 1183457 1460679 1506218 1859046 2259327 2366914 2921358 3408251 3550371 4518654 6816502 7100742 8284199 10224753 11995273 16568398 17572411 20449506 23990546 24852597 35144822 35985819 49705194 52717233 71971638 83966911 105434466 123006877 131948003 167933822 193296521 246013754 251900733 263896006 369020631 386593042 395844009 503801466 579889563 738041262 791688018 923636021 1159779126 1353075647 1847272042 2706151294 2770908063 4059226941 4762123381 5541816126 8118453882 9524246762 14286370143 28572740286 33334863667 52383357191 66669727334 100004591001 104766714382 157150071573 200009182002 314300143146 366683500337 733367000674 1100050501011 2200101002022