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112020310032 = 2437952156701
BaseRepresentation
bin110100001010011101…
…1100100100000010000
3101201010212222100201120
41220110323210200100
53313404144410112
6123243400002240
711043652632111
oct1502473444020
9351125870646
10112020310032
11435645a9a24
1219863460380
13a742c35827
1455c9648208
152da966ce8c
hex1a14ee4810

112020310032 has 80 divisors (see below), whose sum is σ = 293616564480. Its totient is φ = 36796032000.

The previous prime is 112020310021. The next prime is 112020310043. The reversal of 112020310032 is 230013020211.

112020310032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112020310021) and next prime (112020310043).

It is a junction number, because it is equal to n+sod(n) for n = 112020309993 and 112020310020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947282 + ... + 2003982.

It is an arithmetic number, because the mean of its divisors is an integer number (3670207056).

Almost surely, 2112020310032 is an apocalyptic number.

112020310032 is a gapful number since it is divisible by the number (12) 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 112020310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146808282240).

112020310032 is an abundant number, since it is smaller than the sum of its proper divisors (181596254448).

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

112020310032 is a wasteful number, since it uses less digits than its factorization.

112020310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57312 (or 57306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112020310032 its reverse (230013020211), we get a palindrome (342033330243).

The spelling of 112020310032 in words is "one hundred twelve billion, twenty million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 521 632 948 1042 1264 1563 1896 2084 3126 3792 4168 6252 8336 12504 25008 41159 56701 82318 113402 123477 164636 170103 226804 246954 329272 340206 453608 493908 658544 680412 907216 987816 1360824 1975632 2721648 4479379 8958758 13438137 17917516 26876274 29541221 35835032 53752548 59082442 71670064 88623663 107505096 118164884 177247326 215010192 236329768 354494652 472659536 708989304 1417978608 2333756459 4667512918 7001269377 9335025836 14002538754 18670051672 28005077508 37340103344 56010155016 112020310032