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232111121000 = 23531126877853
BaseRepresentation
bin1101100000101011100…
…1101010001001101000
3211012010020000122110012
43120022321222021220
512300330421333000
6254344054511052
722524633655403
oct3301271521150
9735106018405
10232111121000
118a48a749730
1238b99665488
1318b70b96ca5
14b33ca6cd3a
1560875b0735
hex360ae6a268

232111121000 has 128 divisors (see below), whose sum is σ = 592812380160. Its totient is φ = 84361888000.

The previous prime is 232111120979. The next prime is 232111121059. The reversal of 232111121000 is 121111232.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29553074 + ... + 29560926.

It is an arithmetic number, because the mean of its divisors is an integer number (4631346720).

Almost surely, 2232111121000 is an apocalyptic number.

232111121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232111121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296406190080).

232111121000 is an abundant number, since it is smaller than the sum of its proper divisors (360701259160).

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

232111121000 is a wasteful number, since it uses less digits than its factorization.

232111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 232111121000 its reverse (121111232), we get a palindrome (232232232232).

The spelling of 232111121000 in words is "two hundred thirty-two billion, one hundred eleven million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2687 2750 5374 5500 7853 10748 11000 13435 15706 21496 26870 29557 31412 39265 53740 59114 62824 67175 78530 86383 107480 118228 134350 147785 157060 172766 196325 236456 268700 295570 314120 335875 345532 392650 431915 537400 591140 671750 691064 738925 785300 863830 981625 1182280 1343500 1477850 1570600 1727660 1963250 2159575 2687000 2955700 3455320 3694625 3926500 4319150 5911400 7389250 7853000 8638300 10797875 14778500 17276600 21101011 21595750 29557000 42202022 43191500 84404044 86383000 105505055 168808088 211010110 232111121 422020220 464222242 527525275 844040440 928444484 1055050550 1160555605 1856888968 2110101100 2321111210 2637626375 4220202200 4642222420 5275252750 5802778025 9284444840 10550505500 11605556050 21101011000 23211112100 29013890125 46422224200 58027780250 116055560500 232111121000