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11316422461311 = 3211257548381119
BaseRepresentation
bin1010010010101100111101…
…0101110100011101111111
31111001211122221100011211100
42210223033111310131333
52440402013122230221
640022405343024143
72245404332550642
oct244531725643577
944054587304740
1011316422461311
1136732a4508490
121329246b9b053
136411986b2c96
142b1a097b9a59
151495759ac926
hexa4acf57477f

11316422461311 has 48 divisors (see below), whose sum is σ = 17904808995840. Its totient is φ = 6830421135360.

The previous prime is 11316422461273. The next prime is 11316422461321.

11316422461311 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 4 + 2 + 24 + 613 + 11 = 666.

11316422461311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11316422461311 - 29 = 11316422460799 is a prime.

It is a super-2 number, since 2×113164224613112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11316422461321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139463410 + ... + 139544528.

It is an arithmetic number, because the mean of its divisors is an integer number (373016854080).

Almost surely, 211316422461311 is an apocalyptic number.

11316422461311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11316422461311 is a deficient number, since it is larger than the sum of its proper divisors (6588386534529).

11316422461311 is a wasteful number, since it uses less digits than its factorization.

11316422461311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86876 (or 86873 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

It can be divided in two parts, 1131642 and 2461311, that added together give a palindrome (3592953).

The spelling of 11316422461311 in words is "eleven trillion, three hundred sixteen billion, four hundred twenty-two million, four hundred sixty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 257 771 2313 2827 5483 8481 16449 25443 49347 60313 81119 180939 243357 542817 730071 892309 1409131 2676927 4227393 8030781 12682179 15500441 20847583 46501323 62542749 139503969 187628247 229323413 444775477 687970239 1334326431 2063910717 4002979293 4892530247 14677590741 44032772223 114307297589 342921892767 1028765678301 1257380273479 3772140820437 11316422461311