Search a number
-
+
120321456965400 = 23352434663622363
BaseRepresentation
bin11011010110111010000101…
…101100111000011100011000
3120210000121201012202211201210
4123112322011230320130120
5111232321320440343100
61103522525251143120
734225636604254125
oct3326720554703430
9523017635684653
10120321456965400
113537a052757169
12115b31305a4aa0
13521a3597385c2
14219d837b9774c
15dd9c85928c50
hex6d6e85b38718

120321456965400 has 96 divisors (see below), whose sum is σ = 381670854269760. Its totient is φ = 31339542272640.

The previous prime is 120321456965389. The next prime is 120321456965503. The reversal of 120321456965400 is 4569654123021.

120321456965400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120321456965400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331785382 + ... + 2331836981.

It is an arithmetic number, because the mean of its divisors is an integer number (3975738065310).

Almost surely, 2120321456965400 is an apocalyptic number.

120321456965400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120321456965400 is an abundant number, since it is smaller than the sum of its proper divisors (261349397304360).

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

120321456965400 is a wasteful number, since it uses less digits than its factorization.

120321456965400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663622425 (or 4663622416 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 120321456965400 in words is "one hundred twenty trillion, three hundred twenty-one billion, four hundred fifty-six million, nine hundred sixty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 4663622363 9327244726 13990867089 18654489452 23318111815 27981734178 37308978904 46636223630 55963468356 69954335445 93272447260 111926936712 116590559075 139908670890 186544894520 200535761609 233181118150 279817341780 349771677225 401071523218 466362236300 559634683560 601607284827 699543354450 802143046436 932724472600 1002678808045 1203214569654 1399086708900 1604286092872 2005357616090 2406429139308 2798173417800 3008036424135 4010715232180 4812858278616 5013394040225 6016072848270 8021430464360 10026788080450 12032145696540 15040182120675 20053576160900 24064291393080 30080364241350 40107152321800 60160728482700 120321456965400