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16312102125012 = 223615233367229
BaseRepresentation
bin1110110101011111010100…
…0011010111110111010100
32010202102101102222111000000
43231113311003113313110
54114224141121000022
654405402023451300
73302340045220341
oct355276503276724
963672342874000
1016312102125012
115219a18437381
1219b5489bb6b30
139142bc687525
1440571d4637c8
151d44adc7e6ac
hexed5f50d7dd4

16312102125012 has 84 divisors (see below), whose sum is σ = 42802615304820. Its totient is φ = 5436995622912.

The previous prime is 16312102124999. The next prime is 16312102125013. The reversal of 16312102125012 is 21052120121361.

It is a happy number.

16312102125012 is a `hidden beast` number, since 1 + 631 + 2 + 1 + 0 + 2 + 1 + 25 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 678508048656 + 15633594076356 = 823716^2 + 3953934^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16312102125013) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44235814 + ... + 44603042.

It is an arithmetic number, because the mean of its divisors is an integer number (509554944105).

Almost surely, 216312102125012 is an apocalyptic number.

16312102125012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16312102125012 is an abundant number, since it is smaller than the sum of its proper divisors (26490513179808).

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

16312102125012 is a wasteful number, since it uses less digits than its factorization.

16312102125012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382484 (or 382467 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 16312102125012 its reverse (21052120121361), we get a palindrome (37364222246373).

The spelling of 16312102125012 in words is "sixteen trillion, three hundred twelve billion, one hundred two million, one hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 15233 30466 45699 60932 91398 137097 182796 274194 367229 411291 548388 734458 822582 1101687 1233873 1468916 1645164 2203374 2467746 3305061 3701619 4406748 4935492 6610122 7403238 9915183 11104857 13220244 14806476 19830366 22209714 29745549 39660732 44419428 59491098 89236647 118982196 178473294 267709941 356946588 535419882 1070839764 5593999357 11187998714 16781998071 22375997428 33563996142 50345994213 67127992284 100691988426 151037982639 201383976852 302075965278 453113947917 604151930556 906227895834 1359341843751 1812455791668 2718683687502 4078025531253 5437367375004 8156051062506 16312102125012