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81111300311118 = 23711672620381867
BaseRepresentation
bin10010011100010100110010…
…001111100000100001001110
3101122012011102222110002000010
4102130110302033200201032
541112411420334423433
6444302003355014050
723041045430654340
oct2234246217404116
9348164388402003
1081111300311118
1123932122505130
12911bab643a326
1336349bbb413cc
141605b44b83290
15959d574e9e63
hex49c5323e084e

81111300311118 has 64 divisors (see below), whose sum is σ = 205270234011648. Its totient is φ = 20753424378720.

The previous prime is 81111300311099. The next prime is 81111300311137.

81111300311118 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (81111300311099) and next prime (81111300311137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310159980 + ... + 1310221887.

It is an arithmetic number, because the mean of its divisors is an integer number (3207347406432).

Almost surely, 281111300311118 is an apocalyptic number.

81111300311118 is an abundant number, since it is smaller than the sum of its proper divisors (124158933700530).

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

81111300311118 is a wasteful number, since it uses less digits than its factorization.

81111300311118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620381957.

The product of its (nonzero) digits is 576, while the sum is 30.

It can be divided in two parts, 81111300 and 311118, that added together give a palindrome (81422418).

The spelling of 81111300311118 in words is "eighty-one trillion, one hundred eleven billion, three hundred million, three hundred eleven thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 2211 2814 4422 5159 10318 15477 30954 2620381867 5240763734 7861145601 15722291202 18342673069 28824200537 36685346138 55028019207 57648401074 86472601611 110056038414 172945203222 175565585089 201769403759 351131170178 403538807518 526696755267 605308211277 1053393510534 1210616422554 1228959095623 1931221435979 2457918191246 3686877286869 3862442871958 5793664307937 7373754573738 11587328615874 13518550051853 27037100103706 40555650155559 81111300311118