Search a number
-
+
12013212013002 = 232667400667389
BaseRepresentation
bin1010111011010000101100…
…1111000001000111001010
31120112110012101210220102100
42232310023033001013022
53033311024233404002
641314443213214230
72346632410166604
oct256641317010712
946473171726370
1012013212013002
113911857aa7812
1214202a8491376
13691ac1993765
142d762a576174
1515c757ca111c
hexaed0b3c11ca

12013212013002 has 12 divisors (see below), whose sum is σ = 26028626028210. Its totient is φ = 4004404004328.

The previous prime is 12013212012961. The next prime is 12013212013013. The reversal of 12013212013002 is 20031021231021.

12013212013002 is a `hidden beast` number, since 1 + 20 + 1 + 321 + 20 + 1 + 300 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11806295288841 + 206916724161 = 3436029^2 + 454881^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 667400667389 = 12013212013002 / (1 + 2 + 0 + 1 + 3 + 2 + 1 + 2 + 0 + 1 + 3 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333700333677 + ... + 333700333712.

Almost surely, 212013212013002 is an apocalyptic number.

12013212013002 is an abundant number, since it is smaller than the sum of its proper divisors (14015414015208).

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

12013212013002 is a wasteful number, since it uses less digits than its factorization.

12013212013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667400667397 (or 667400667394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013212013002 its reverse (20031021231021), we get a palindrome (32044233244023).

The spelling of 12013212013002 in words is "twelve trillion, thirteen billion, two hundred twelve million, thirteen thousand, two".

Divisors: 1 2 3 6 9 18 667400667389 1334801334778 2002202002167 4004404004334 6006606006501 12013212013002