Search a number
-
+
1055313311311 = 73116932872531
BaseRepresentation
bin11110101101101011001…
…00110011011001001111
310201212221121011202222201
433112311210303121033
5114242240201430221
62124445414422331
7136146435066220
oct17266544633117
93655847152881
101055313311311
11377612941416
1215063a3619a7
1378691a75a4c
14391126b5247
151c6b7800891
hexf5b593364f

1055313311311 has 16 divisors (see below), whose sum is σ = 1245713717248. Its totient is φ = 874857736800.

The previous prime is 1055313311293. The next prime is 1055313311317. The reversal of 1055313311311 is 1131133135501.

It is a cyclic number.

It is not a de Polignac number, because 1055313311311 - 25 = 1055313311279 is a prime.

It is a super-2 number, since 2×10553133113112 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055313311311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055313311317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068885 + ... + 1803646.

It is an arithmetic number, because the mean of its divisors is an integer number (77857107328).

Almost surely, 21055313311311 is an apocalyptic number.

1055313311311 is a deficient number, since it is larger than the sum of its proper divisors (190400405937).

1055313311311 is a wasteful number, since it uses less digits than its factorization.

1055313311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874262.

The product of its (nonzero) digits is 2025, while the sum is 28.

Adding to 1055313311311 its reverse (1131133135501), we get a palindrome (2186446446812).

The spelling of 1055313311311 in words is "one trillion, fifty-five billion, three hundred thirteen million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 7 31 217 1693 11851 52483 367381 2872531 20107717 89048461 623339227 4863194983 34042364881 150759044473 1055313311311