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112612503040 = 295291516871
BaseRepresentation
bin110100011100000111…
…0100110111000000000
3101202200011021212210221
41220320032212320000
53321112300044130
6123422232432424
711064433324252
oct1507016467000
9352604255727
10112612503040
1143838905334
12199a9848714
13a808829aab
14564415bcd2
152de164787a
hex1a383a6e00

112612503040 has 80 divisors (see below), whose sum is σ = 279316810080. Its totient is φ = 43491696640.

The previous prime is 112612503007. The next prime is 112612503061. The reversal of 112612503040 is 40305216211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1126125030404 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112612502996 and 112612503014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684196 + ... + 832675.

It is an arithmetic number, because the mean of its divisors is an integer number (3491460126).

Almost surely, 2112612503040 is an apocalyptic number.

112612503040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112612503040 is an abundant number, since it is smaller than the sum of its proper divisors (166704307040).

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

112612503040 is an equidigital number, since it uses as much as digits as its factorization.

112612503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516923 (or 1516907 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 112612503040 its reverse (40305216211), we get a palindrome (152917719251).

The spelling of 112612503040 in words is "one hundred twelve billion, six hundred twelve million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 7424 9280 14848 18560 37120 74240 1516871 3033742 6067484 7584355 12134968 15168710 24269936 30337420 43989259 48539872 60674840 87978518 97079744 121349680 175957036 194159488 219946295 242699360 351914072 388318976 439892590 485398720 703828144 776637952 879785180 970797440 1407656288 1759570360 1941594880 2815312576 3519140720 3883189760 5630625152 7038281440 11261250304 14076562880 22522500608 28153125760 56306251520 112612503040