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231111111132 = 223211583613917
BaseRepresentation
bin1101011100111101001…
…0111011000111011100
3211002112112022212210200
43113033102323013130
512241303421024012
6254100533103500
722461102013626
oct3271722730734
9732475285720
10231111111132
118a0172194a0
123895a787b90
1318a41955485
14b285d1bc16
1560298cb3dc
hex35cf4bb1dc

231111111132 has 36 divisors (see below), whose sum is σ = 637306398456. Its totient is φ = 70033669920.

The previous prime is 231111111103. The next prime is 231111111181.

231111111132 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291806563 + ... + 291807354.

Almost surely, 2231111111132 is an apocalyptic number.

231111111132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231111111132 is an abundant number, since it is smaller than the sum of its proper divisors (406195287324).

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

231111111132 is a wasteful number, since it uses less digits than its factorization.

231111111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583613938 (or 583613933 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

It can be divided in two parts, 231111 and 111132, that added together give a palindrome (342243).

The spelling of 231111111132 in words is "two hundred thirty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 583613917 1167227834 1750841751 2334455668 3501683502 5252525253 6419753087 7003367004 10505050506 12839506174 19259259261 21010101012 25679012348 38518518522 57777777783 77037037044 115555555566 231111111132