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12150116316 = 2234133193053
BaseRepresentation
bin10110101000011010…
…00000111111011100
31011100202120212020000
423110031000333130
5144340412210231
65325351054300
7610043166432
oct132415007734
934322525200
1012150116316
115175473248
122431071390
1311b82a4650
14833936d52
154b1a246e6
hex2d4340fdc

12150116316 has 120 divisors (see below), whose sum is σ = 35309898624. Its totient is φ = 3617861760.

The previous prime is 12150116299. The next prime is 12150116317. The reversal of 12150116316 is 61361105121.

12150116316 is a `hidden beast` number, since 1 + 2 + 15 + 0 + 11 + 631 + 6 = 666.

12150116316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12150116316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150116317) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 84046 + ... + 177098.

Almost surely, 212150116316 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 12150116316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654949312).

12150116316 is an abundant number, since it is smaller than the sum of its proper divisors (23159782308).

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

12150116316 is a wasteful number, since it uses less digits than its factorization.

12150116316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93113 (or 93102 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 12150116316 in words is "twelve billion, one hundred fifty million, one hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1116 1209 1404 1612 1674 2106 2418 2511 3348 3627 4212 4836 5022 7254 10044 10881 14508 21762 32643 43524 65286 93053 130572 186106 279159 372212 558318 837477 1116636 1209689 1674954 2419378 2512431 2884643 3349908 3629067 4838756 5024862 5769286 7258134 7537293 8653929 10049724 10887201 11538572 14516268 15074586 17307858 21774402 25961787 30149172 32661603 34615716 37500359 43548804 51923574 65323206 75000718 77885361 97984809 103847148 112501077 130646412 150001436 155770722 195969618 225002154 233656083 311541444 337503231 391939236 450004308 467312166 675006462 934624332 1012509693 1350012924 2025019386 3037529079 4050038772 6075058158 12150116316