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132211112231 = 1159203715119
BaseRepresentation
bin111101100100001100…
…1010111100100100111
3110122021000112101101102
41323020121113210213
54131232021042411
6140423102550315
712360212624462
oct1731031274447
9418230471342
10132211112231
11510857a9510
122175929839b
13c60ccc7073
146582dda2d9
15368c027d3b
hex1ec8657927

132211112231 has 8 divisors (see below), whose sum is σ = 146674886400. Its totient is φ = 118154768440.

The previous prime is 132211112179. The next prime is 132211112303.

132211112231 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 132211112231 - 26 = 132211112167 is a prime.

It is a super-3 number, since 3×1322111122313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211112531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101856911 + ... + 101858208.

It is an arithmetic number, because the mean of its divisors is an integer number (18334360800).

Almost surely, 2132211112231 is an apocalyptic number.

132211112231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132211112231 is a deficient number, since it is larger than the sum of its proper divisors (14463774169).

132211112231 is a wasteful number, since it uses less digits than its factorization.

132211112231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203715189.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 132211 and 112231, that added together give a palindrome (244442).

The spelling of 132211112231 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 59 649 203715119 2240866309 12019192021 132211112231