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101021222102022 = 2322310119312517961
BaseRepresentation
bin10110111110000011010110…
…000011101110010000000110
3111020200112102122212102211100
4112332003112003232100012
5101220112430324231042
6554504301520320530
730164354025605655
oct2676032603562006
9436615378772740
10101021222102022
112a208950293462
12b3b670aa73146
13444a35004b9b1
141ad364b98519c
15ba2bd920624c
hex5be0d60ee406

101021222102022 has 96 divisors (see below), whose sum is σ = 231852284404416. Its totient is φ = 31725517824000.

The previous prime is 101021222101979. The next prime is 101021222102041. The reversal of 101021222102022 is 220201222120101.

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 = 101021222101986 and 101021222102004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811122 + ... + 14329082.

It is an arithmetic number, because the mean of its divisors is an integer number (2415127962546).

Almost surely, 2101021222102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021222102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115926142202208).

101021222102022 is an abundant number, since it is smaller than the sum of its proper divisors (130831062302394).

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

101021222102022 is a wasteful number, since it uses less digits than its factorization.

101021222102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518286 (or 12518283 counting only the distinct ones).

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

Adding to 101021222102022 its reverse (220201222120101), we get a palindrome (321222444222123).

The spelling of 101021222102022 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 193 202 207 303 386 414 579 606 909 1158 1737 1818 2323 3474 4439 4646 6969 8878 13317 13938 19493 20907 26634 38986 39951 41814 58479 79902 116958 175437 350874 448339 896678 1345017 2690034 4035051 8070102 12517961 25035922 37553883 75107766 112661649 225323298 287913103 575826206 863739309 1264314061 1727478618 2415966473 2528628122 2591217927 3792942183 4831932946 5182435854 7247899419 7585884366 11378826549 14495798838 21743698257 22757653098 29079223403 43487396514 55567228879 58158446806 87237670209 111134457758 166701686637 174475340418 244012613773 261713010627 333403373274 488025227546 500105059911 523426021254 732037841319 1000210119822 1464075682638 2196113523957 4392227047914 5612290116779 11224580233558 16836870350337 33673740700674 50510611051011 101021222102022