Search a number
-
+
12274313311 = 1361109211673
BaseRepresentation
bin10110110111001101…
…10010100001011111
31011200102021201110201
423123212302201133
5200114211011221
65345545044331
7613111641001
oct133346624137
934612251421
1012274313311
115229591297
1224667866a7
131207c3a9b0
14846226371
154bc8a8891
hex2db9b285f

12274313311 has 32 divisors (see below), whose sum is σ = 13642946240. Its totient is φ = 10973491200.

The previous prime is 12274313281. The next prime is 12274313333. The reversal of 12274313311 is 11331347221.

It is a 12-Lehmer number, since φ(12274313311) divides (12274313311-1)12.

It is a cyclic number.

It is not a de Polignac number, because 12274313311 - 225 = 12240758879 is a prime.

It is the 110790-th Hogben number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12274313311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274313351) by changing a digit.

It is a nontrivial repunit in base 110789.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18237871 + ... + 18238543.

It is an arithmetic number, because the mean of its divisors is an integer number (426342070).

Almost surely, 212274313311 is an apocalyptic number.

12274313311 is a deficient number, since it is larger than the sum of its proper divisors (1368632929).

12274313311 is a wasteful number, since it uses less digits than its factorization.

12274313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067.

The product of its digits is 3024, while the sum is 28.

The spelling of 12274313311 in words is "twelve billion, two hundred seventy-four million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 13 61 109 211 673 793 1417 2743 6649 8749 12871 22999 41053 73357 86437 142003 167323 298987 533689 953641 1402939 1846039 4474777 8662183 15478327 18238207 58172101 112608379 201218251 944177947 12274313311