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11111313132 = 2233227453227
BaseRepresentation
bin10100101100100100…
…10010111011101100
31001200100220012011000
422112102102323230
5140223444010012
65034322000300
7542230413633
oct122622227354
931610805130
1011111313132
114792057017
1221a11a6090
131080ccc5ca
147759a851a
1545072addc
hex296492eec

11111313132 has 48 divisors (see below), whose sum is σ = 28934075520. Its totient is φ = 3687446736.

The previous prime is 11111313131. The next prime is 11111313163. The reversal of 11111313132 is 23131311111.

11111313132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111113131322 (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (11111313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202098 + ... + 251129.

It is an arithmetic number, because the mean of its divisors is an integer number (602793240).

Almost surely, 211111313132 is an apocalyptic number.

11111313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111313132 is an abundant number, since it is smaller than the sum of its proper divisors (17822762388).

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

11111313132 is a wasteful number, since it uses less digits than its factorization.

11111313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453467 (or 453459 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11111313132 its reverse (23131311111), we get a palindrome (34242624243).

The spelling of 11111313132 in words is "eleven billion, one hundred eleven million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 2043 2724 4086 6129 8172 12258 24516 453227 906454 1359681 1812908 2719362 4079043 5438724 8158086 12237129 16316172 24474258 48948516 102882529 205765058 308647587 411530116 617295174 925942761 1234590348 1851885522 2777828283 3703771044 5555656566 11111313132