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232112333013220 = 2251129167217851757
BaseRepresentation
bin110100110001101011011101…
…001010000100000011100100
31010102211201111120112222212201
4310301223131022010003210
5220410412024222410340
62141354533404024244
766614363664252262
oct6461533512040344
91112751446488781
10232112333013220
1167a5a3189146a0
1222048b12832084
139c691398c2b8a
144146422827432
151bc7b93b8179a
hexd31add2840e4

232112333013220 has 96 divisors (see below), whose sum is σ = 553378321601280. Its totient is φ = 81005996951040.

The previous prime is 232112333013203. The next prime is 232112333013221. The reversal of 232112333013220 is 22310333211232.

It is a happy number.

It is a super-2 number, since 2×2321123330132202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232112333013221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107860419 + ... + 109991338.

It is an arithmetic number, because the mean of its divisors is an integer number (5764357516680).

Almost surely, 2232112333013220 is an apocalyptic number.

232112333013220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232112333013220 is an abundant number, since it is smaller than the sum of its proper divisors (321265988588060).

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

232112333013220 is a wasteful number, since it uses less digits than its factorization.

232112333013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217851973 (or 217851971 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 232112333013220 its reverse (22310333211232), we get a palindrome (254422666224452).

The spelling of 232112333013220 in words is "two hundred thirty-two trillion, one hundred twelve billion, three hundred thirty-three million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 167 220 290 319 334 580 638 668 835 1276 1595 1670 1837 3190 3340 3674 4843 6380 7348 9185 9686 18370 19372 24215 36740 48430 53273 96860 106546 213092 266365 532730 1065460 217851757 435703514 871407028 1089258785 2178517570 2396369327 4357035140 4792738654 6317700953 9585477308 11981846635 12635401906 23963693270 25270803812 31588504765 36381243419 47927386540 63177009530 69494710483 72762486838 126354019060 138989420966 145524973676 181906217095 277978841932 347473552415 363812434190 400193677609 694947104830 727624868380 800387355218 1055056059151 1389894209660 1600774710436 2000968388045 2110112118302 4001936776090 4220224236604 5275280295755 8003873552180 10550560591510 11605616650661 21101121183020 23211233301322 46422466602644 58028083253305 116056166506610 232112333013220