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2232123310120 = 2351113936496457
BaseRepresentation
bin100000011110110100111…
…010101100000000101000
321220101111111210202202011
4200132310322230000220
5243032342031410440
64425231233045304
7320160045041314
oct40366472540050
97811444722664
102232123310120
11790702465370
123007256b6834
13132646b08452
147a06cdb2b44
153d0e16999ea
hex207b4eac028

2232123310120 has 64 divisors (see below), whose sum is σ = 5518264449600. Its totient is φ = 805841748480.

The previous prime is 2232123310097. The next prime is 2232123310121. The reversal of 2232123310120 is 210133212322.

It is a super-3 number, since 3×22321233101203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2232123310091 and 2232123310100.

It is not an unprimeable number, because it can be changed into a prime (2232123310121) 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 15 ways as a sum of consecutive naturals, for example, 18187069 + ... + 18309388.

It is an arithmetic number, because the mean of its divisors is an integer number (86222882025).

Almost surely, 22232123310120 is an apocalyptic number.

2232123310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232123310120 is an abundant number, since it is smaller than the sum of its proper divisors (3286141139480).

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

2232123310120 is a wasteful number, since it uses less digits than its factorization.

2232123310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36496618 (or 36496614 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2232123310120 its reverse (210133212322), we get a palindrome (2442256522442).

The spelling of 2232123310120 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 440 556 695 1112 1390 1529 2780 3058 5560 6116 7645 12232 15290 30580 61160 36496457 72992914 145985828 182482285 291971656 364964570 401461027 729929140 802922054 1459858280 1605844108 2007305135 3211688216 4014610270 5073007523 8029220540 10146015046 16058441080 20292030092 25365037615 40584060184 50730075230 55803082753 101460150460 111606165506 202920300920 223212331012 279015413765 446424662024 558030827530 1116061655060 2232123310120