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1306623363012 = 2232113479508801
BaseRepresentation
bin10011000000111000110…
…100100100011111000100
311121220121211101011012100
4103000320310210133010
5132401431040104022
62440130545152100
7163254226222542
oct23007064443704
94556554334170
101306623363012
11464154908920
1219129562b630
13962a237bb56
14473530a2d92
1523ec56431ac
hex13038d247c4

1306623363012 has 72 divisors (see below), whose sum is σ = 3613496900832. Its totient is φ = 394805376000.

The previous prime is 1306623363007. The next prime is 1306623363029. The reversal of 1306623363012 is 2103633266031.

1306623363012 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 6 + 2 + 3 + 3 + 630 + 12 = 666.

It is a super-2 number, since 2×13066233630122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4616989 + ... + 4891812.

It is an arithmetic number, because the mean of its divisors is an integer number (50187456956).

Almost surely, 21306623363012 is an apocalyptic number.

1306623363012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306623363012 is an abundant number, since it is smaller than the sum of its proper divisors (2306873537820).

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

1306623363012 is a wasteful number, since it uses less digits than its factorization.

1306623363012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509169 (or 9509164 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 1306623363012 in words is "one trillion, three hundred six billion, six hundred twenty-three million, three hundred sixty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1388 2082 3123 3817 4164 6246 7634 11451 12492 15268 22902 34353 45804 68706 137412 9508801 19017602 28526403 38035204 57052806 85579209 104596811 114105612 171158418 209193622 313790433 342316836 418387244 627580866 941371299 1255161732 1882742598 3299553947 3765485196 6599107894 9898661841 13198215788 19797323682 29695985523 36295093417 39594647364 59391971046 72590186834 108885280251 118783942092 145180373668 217770560502 326655840753 435541121004 653311681506 1306623363012