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100678768112 = 241323132715859
BaseRepresentation
bin101110111000011101…
…1000001010111110000
3100121212110212100001102
41131300323001113300
53122142231034422
6114130131223532
710162625260166
oct1356073012760
9317773770042
10100678768112
11397745a368a
1217619147ba8
139656326a90
144c3126d236
152943b16192
hex1770ec15f0

100678768112 has 80 divisors (see below), whose sum is σ = 219382625280. Its totient is φ = 44410519296.

The previous prime is 100678768097. The next prime is 100678768121. The reversal of 100678768112 is 211867876001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6340439 + ... + 6356297.

It is an arithmetic number, because the mean of its divisors is an integer number (2742282816).

Almost surely, 2100678768112 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 100678768112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109691312640).

100678768112 is an abundant number, since it is smaller than the sum of its proper divisors (118703857168).

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

100678768112 is a wasteful number, since it uses less digits than its factorization.

100678768112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17224 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 100678768112 in words is "one hundred billion, six hundred seventy-eight million, seven hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1327 2392 2654 4784 5308 10616 15859 17251 21232 30521 31718 34502 61042 63436 69004 122084 126872 138008 206167 244168 253744 276016 364757 396773 412334 488336 729514 793546 824668 1459028 1587092 1649336 2918056 3174184 3298672 4741841 5836112 6348368 9483682 18967364 21044893 37934728 42089786 75869456 84179572 168359144 273583609 336718288 484032539 547167218 968065078 1094334436 1936130156 2188668872 3872260312 4377337744 6292423007 7744520624 12584846014 25169692028 50339384056 100678768112