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232010211221200 = 24521734119148709
BaseRepresentation
bin110100110000001100010110…
…001110010101111011010000
31010102110221220112101110011101
4310300030112032111323100
5220402223403033034300
62141240004123354144
766604120214325226
oct6460142616257320
91112427815343141
10232010211221200
1167a1aa83816875
1222031172382954
139c5c6136355c9
1441414d5a86b16
151bc51b8527b6a
hexd30316395ed0

232010211221200 has 60 divisors (see below), whose sum is σ = 590193034385580. Its totient is φ = 87345020692480.

The previous prime is 232010211221153. The next prime is 232010211221213. The reversal of 232010211221200 is 2122112010232.

It can be written as a sum of positive squares in 6 ways, for example, as 21863554519104 + 210146656702096 = 4675848^2 + 14496436^2 .

It is a super-2 number, since 2×2320102112212002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17059567555 + ... + 17059581154.

It is an arithmetic number, because the mean of its divisors is an integer number (9836550573093).

Almost surely, 2232010211221200 is an apocalyptic number.

232010211221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232010211221200 is an abundant number, since it is smaller than the sum of its proper divisors (358182823164380).

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

232010211221200 is a wasteful number, since it uses less digits than its factorization.

232010211221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34119148744 (or 34119148733 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 232010211221200 its reverse (2122112010232), we get a palindrome (234132323231432).

The spelling of 232010211221200 in words is "two hundred thirty-two trillion, ten billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 34119148709 68238297418 136476594836 170595743545 272953189672 341191487090 545906379344 580025528053 682382974180 852978717725 1160051056106 1364765948360 1705957435450 2320102112212 2729531896720 2900127640265 3411914870900 4640204224424 5800255280530 6823829741800 9280408448848 11600510561060 13647659483600 14500638201325 23201021122120 29001276402650 46402042244240 58002552805300 116005105610600 232010211221200