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112820350788 = 223217393719333
BaseRepresentation
bin110100100010010011…
…1011110111101000100
3101210012122101122022200
41221010213132331010
53322024002211123
6123455015354500
711102536105335
oct1510447367504
9353178348280
10112820350788
1143935168432
1219a47382a30
13a83c901122
1456639c428c
152e04a02143
hex1a449def44

112820350788 has 72 divisors (see below), whose sum is σ = 287154213528. Its totient is φ = 37347568128.

The previous prime is 112820350763. The next prime is 112820350817. The reversal of 112820350788 is 887053028211.

112820350788 is a `hidden beast` number, since 11 + 282 + 0 + 350 + 7 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38723155524 + 74097195264 = 196782^2 + 272208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5825970 + ... + 5845302.

Almost surely, 2112820350788 is an apocalyptic number.

112820350788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112820350788 is an abundant number, since it is smaller than the sum of its proper divisors (174333862740).

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

112820350788 is a wasteful number, since it uses less digits than its factorization.

112820350788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

Adding to 112820350788 its reverse (887053028211), we get a palindrome (999873378999).

The spelling of 112820350788 in words is "one hundred twelve billion, eight hundred twenty million, three hundred fifty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 937 1038 1557 1874 2076 2811 3114 3748 5622 6228 8433 11244 16866 19333 33732 38666 57999 77332 115998 162101 173997 231996 324202 347994 486303 648404 695988 972606 1458909 1945212 2917818 3344609 5835636 6689218 10033827 13378436 18115021 20067654 30101481 36230042 40135308 54345063 60202962 72460084 108690126 120405924 163035189 217380252 326070378 652140756 3133898633 6267797266 9401695899 12535594532 18803391798 28205087697 37606783596 56410175394 112820350788