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112304337704 = 231317195363079
BaseRepresentation
bin110100010010111011…
…1000011001100101000
3101201212200102110102222
41220211313003030220
53314444402301304
6123331503413212
711054002056116
oct1504567031450
9351780373388
10112304337704
114369a964139
12199225b4208
13a789a30540
145615260ab6
152dc45744be
hex1a25dc3328

112304337704 has 128 divisors (see below), whose sum is σ = 257517792000. Its totient is φ = 45343494144.

The previous prime is 112304337689. The next prime is 112304337731. The reversal of 112304337704 is 407733403211.

It is a super-2 number, since 2×1123043377042 (a number of 23 digits) contains 22 as substring.

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, 1748837 + ... + 1811915.

It is an arithmetic number, because the mean of its divisors is an integer number (2011857750).

Almost surely, 2112304337704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112304337704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128758896000).

112304337704 is an abundant number, since it is smaller than the sum of its proper divisors (145213454296).

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

112304337704 is a wasteful number, since it uses less digits than its factorization.

112304337704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63187 (or 63183 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 112304337704 in words is "one hundred twelve billion, three hundred four million, three hundred thirty-seven thousand, seven hundred four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 53 68 76 104 106 136 152 212 221 247 323 424 442 494 646 689 884 901 988 1007 1292 1378 1768 1802 1976 2014 2584 2756 3604 4028 4199 5512 7208 8056 8398 11713 13091 16796 17119 23426 26182 33592 34238 46852 52364 63079 68476 93704 104728 126158 136952 222547 252316 445094 504632 820027 890188 1072343 1198501 1640054 1780376 2144686 2397002 3280108 3343187 4289372 4794004 6560216 6686374 8578744 9588008 13372748 13940459 15580513 20374517 26745496 27880918 31161026 40749034 43461431 55761836 56834179 62322052 63520553 81498068 86922862 111523672 113668358 124644104 127041106 162996136 173845724 227336716 254082212 264868721 347691448 454673432 508164424 529737442 738844327 825767189 1059474884 1079849401 1477688654 1651534378 2118949768 2159698802 2955377308 3303068756 4319397604 5910754616 6606137512 8638795208 14038042213 28076084426 56152168852 112304337704