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132110011231 = 1133136283991
BaseRepresentation
bin111101100001001011…
…1101100101101011111
3110121222222021220212221
41323002113230231133
54131030130324411
6140405052010211
712354544365412
oct1730227545537
9417888256787
10132110011231
1151033725870
122172b460967
13c5c50893a3
1465737ddb79
153683207071
hex1ec25ecb5f

132110011231 has 8 divisors (see below), whose sum is σ = 144555424128. Its totient is φ = 119737167000.

The previous prime is 132110011207. The next prime is 132110011273.

It is a happy number.

132110011231 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132110011231 - 215 = 132109978463 is a prime.

It is a super-2 number, since 2×1321100112312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132110012231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18138355 + ... + 18145636.

It is an arithmetic number, because the mean of its divisors is an integer number (18069428016).

Almost surely, 2132110011231 is an apocalyptic number.

132110011231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132110011231 is a deficient number, since it is larger than the sum of its proper divisors (12445412897).

132110011231 is a wasteful number, since it uses less digits than its factorization.

132110011231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36284333.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1321100 and 11231, that added together give a palindrome (1332331).

The spelling of 132110011231 in words is "one hundred thirty-two billion, one hundred ten million, eleven thousand, two hundred thirty-one".

Divisors: 1 11 331 3641 36283991 399123901 12010001021 132110011231