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2220123331096 = 2311232694319461
BaseRepresentation
bin100000010011101001101…
…010011001101000011000
321212020112012201200011121
4200103221222121220120
5242333303033043341
64415524403535024
7316253503642606
oct40235152315030
97766465650147
102220123331096
11786604818530
122ba33698a474
13131483980348
147965139c876
153cb3ce304d1
hex204e9a99a18

2220123331096 has 128 divisors (see below), whose sum is σ = 4767757977600. Its totient is φ = 959349952000.

The previous prime is 2220123331091. The next prime is 2220123331103. The reversal of 2220123331096 is 6901333210222.

It is a super-2 number, since 2×22201233310962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220123331091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234655806 + ... + 234665266.

It is an arithmetic number, because the mean of its divisors is an integer number (37248109200).

Almost surely, 22220123331096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220123331096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383878988800).

2220123331096 is an abundant number, since it is smaller than the sum of its proper divisors (2547634646504).

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

2220123331096 is a wasteful number, since it uses less digits than its factorization.

2220123331096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 2220123331096 in words is "two trillion, two hundred twenty billion, one hundred twenty-three million, three hundred thirty-one thousand, ninety-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 269 431 506 538 862 1012 1076 1724 2024 2152 2959 3448 4741 5918 6187 9461 9482 9913 11836 12374 18922 18964 19826 23672 24748 37844 37928 39652 49496 68057 75688 79304 104071 109043 115939 136114 208142 217603 218086 231878 272228 416284 435206 436172 463756 544456 832568 870412 872344 927512 1275329 1740824 2393633 2545009 2550658 2666597 4077691 4787266 5090018 5101316 5333194 8155382 9574532 10180036 10202632 10666388 16310764 19149064 20360072 21332776 27995099 29332567 32621528 44854601 55990198 58535207 58665134 89709202 93786893 111980396 117070414 117330268 179418404 187573786 223960792 234140828 234660536 358836808 375147572 468281656 643887277 750295144 1031655823 1096898879 1287774554 2063311646 2193797758 2575549108 4126623292 4387595516 5151098216 8253246584 8775191032 12065887669 24131775338 25228674217 48263550676 50457348434 96527101352 100914696868 201829393736 277515416387 555030832774 1110061665548 2220123331096