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112315331040 = 25351121271843
BaseRepresentation
bin110100010011010000…
…0111111000111100000
3101201220110002222110120
41220212200333013200
53320010211043130
6123332535200240
711054164363503
oct1504640770740
9351813088416
10112315331040
11436a6092640
1219926216080
13a78c0ac283
1456168c313a
152dc54e6910
hex1a2683f1e0

112315331040 has 96 divisors (see below), whose sum is σ = 385956337536. Its totient is φ = 27227957760.

The previous prime is 112315331027. The next prime is 112315331059. The reversal of 112315331040 is 40133513211.

112315331040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1123153310402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112315331040.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10630642 + ... + 10641201.

It is an arithmetic number, because the mean of its divisors is an integer number (4020378516).

Almost surely, 2112315331040 is an apocalyptic number.

112315331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112315331040 is an abundant number, since it is smaller than the sum of its proper divisors (273641006496).

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

112315331040 is a wasteful number, since it uses less digits than its factorization.

112315331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21271872 (or 21271864 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 112315331040 its reverse (40133513211), we get a palindrome (152448844251).

The spelling of 112315331040 in words is "one hundred twelve billion, three hundred fifteen million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 21271843 42543686 63815529 85087372 106359215 127631058 170174744 212718430 233990273 255262116 319077645 340349488 425436860 467980546 510524232 638155290 680698976 701970819 850873720 935961092 1021048464 1169951365 1276310580 1403941638 1701747440 1871922184 2042096928 2339902730 2552621160 2807883276 3403494880 3509854095 3743844368 4679805460 5105242320 5615766552 7019708190 7487688736 9359610920 10210484640 11231533104 14039416380 18719221840 22463066208 28078832760 37438443680 56157665520 112315331040