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112331000232 = 23341117927007
BaseRepresentation
bin110100010011101110…
…0110000100110101000
3101201221112121001120000
41220213130300212220
53320023214001412
6123334255103000
711054444514333
oct1504734604650
9351845531500
10112331000232
1143703a15090
121992b511a60
13a792407399
145618a0161a
152dc6a8e4dc
hex1a277309a8

112331000232 has 160 divisors (see below), whose sum is σ = 363424216320. Its totient is φ = 32037327360.

The previous prime is 112331000219. The next prime is 112331000237. The reversal of 112331000232 is 232000133211.

112331000232 is a `hidden beast` number, since 1 + 123 + 310 + 0 + 0 + 232 = 666.

It is a super-2 number, since 2×1123310002322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112331000237) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 342328 + ... + 584679.

It is an arithmetic number, because the mean of its divisors is an integer number (2271401352).

Almost surely, 2112331000232 is an apocalyptic number.

112331000232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112331000232 is an abundant number, since it is smaller than the sum of its proper divisors (251093216088).

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

112331000232 is a wasteful number, since it uses less digits than its factorization.

112331000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927053 (or 927040 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112331000232 its reverse (232000133211), we get a palindrome (344331133443).

The spelling of 112331000232 in words is "one hundred twelve billion, three hundred thirty-one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 198 204 216 264 297 306 324 374 396 408 459 561 594 612 648 748 792 891 918 1122 1188 1224 1377 1496 1683 1782 1836 2244 2376 2754 3366 3564 3672 4488 5049 5508 6732 7128 10098 11016 13464 15147 20196 30294 40392 60588 121176 927007 1854014 2781021 3708028 5562042 7416056 8343063 10197077 11124084 15759119 16686126 20394154 22248168 25029189 30591231 31518238 33372252 40788308 47277357 50058378 61182462 63036476 66744504 75087567 81576616 91773693 94554714 100116756 122364924 126072952 141832071 150175134 173350309 183547386 189109428 200233512 244729848 275321079 283664142 300350268 346700618 367094772 378218856 425496213 520050927 550642158 567328284 600700536 693401236 734189544 825963237 850992426 1040101854 1101284316 1134656568 1276488639 1386802472 1560152781 1651926474 1701984852 2080203708 2202568632 2552977278 3120305562 3303852948 3403969704 4160407416 4680458343 5105954556 6240611124 6607705896 9360916686 10211909112 12481222248 14041375029 18721833372 28082750058 37443666744 56165500116 112331000232