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120230001202332 = 223759216171122241
BaseRepresentation
bin11011010101100100111010…
…100000110101010010011100
3120202200212122111121201002210
4123111210322200311102130
5111224322020301433312
61103412522224520420
734216221340145310
oct3325447240652234
9522625574551083
10120230001202332
113534429131a7aa
1211599468180110
135211843142278
14219923d7cdb40
15dd76d188ee3c
hex6d593a83549c

120230001202332 has 96 divisors (see below), whose sum is σ = 326062834352640. Its totient is φ = 33767609057280.

The previous prime is 120230001202291. The next prime is 120230001202379. The reversal of 120230001202332 is 233202100032021.

It is a happy number.

It is a super-2 number, since 2×1202300012023322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120230001202299 and 120230001202308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106572732 + ... + 107694972.

It is an arithmetic number, because the mean of its divisors is an integer number (3396487857840).

Almost surely, 2120230001202332 is an apocalyptic number.

120230001202332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120230001202332 is an abundant number, since it is smaller than the sum of its proper divisors (205832833150308).

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

120230001202332 is a wasteful number, since it uses less digits than its factorization.

120230001202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143931 (or 1143929 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120230001202332 its reverse (233202100032021), we get a palindrome (353432101234353).

The spelling of 120230001202332 in words is "one hundred twenty trillion, two hundred thirty billion, one million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 21617 43234 64851 86468 129702 151319 259404 302638 453957 605276 907914 1122241 1275403 1815828 2244482 2550806 3366723 3826209 4488964 5101612 6733446 7652418 7855687 8927821 13466892 15304836 15711374 17855642 23567061 26783463 31422748 35711284 47134122 53566926 66212219 94268244 107133852 132424438 198636657 264848876 397273314 463485533 794546628 926971066 1390456599 1853942132 2780913198 5561826396 24259483697 48518967394 72778451091 97037934788 145556902182 169816385879 291113804364 339632771758 509449157637 679265543516 1018898315274 1431309538123 2037796630548 2862619076246 4293928614369 5725238152492 8587857228738 10019166766861 17175714457476 20038333533722 30057500300583 40076667067444 60115000601166 120230001202332