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132242331144231 = 347111715725730911
BaseRepresentation
bin11110000100011000010001…
…001011000001000000100111
3122100020020120102122202110000
4132010120101023001000213
5114313124243233103411
61145131142132232343
736566123150021310
oct3604302113010047
9570206512582400
10132242331144231
1139155726420430
12129b954916b6b3
1358a3524148b59
1424927c4b55607
151044dd6ea6956
hex7846112c1027

132242331144231 has 320 divisors, whose sum is σ = 263471113027584. Its totient is φ = 63992424038400.

The previous prime is 132242331144221. The next prime is 132242331144311. The reversal of 132242331144231 is 132441133242231.

132242331144231 is a `hidden beast` number, since 1 + 3 + 2 + 242 + 331 + 14 + 42 + 31 = 666.

It is not a de Polignac number, because 132242331144231 - 213 = 132242331136039 is a prime.

It is a super-2 number, since 2×1322423311442312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242331144221) 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 319 ways as a sum of consecutive naturals, for example, 4278148666 + ... + 4278179576.

Almost surely, 2132242331144231 is an apocalyptic number.

132242331144231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132242331144231 is a deficient number, since it is larger than the sum of its proper divisors (131228781883353).

132242331144231 is a wasteful number, since it uses less digits than its factorization.

132242331144231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31372 (or 31363 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 132242331144231 its reverse (132441133242231), we get a palindrome (264683464386462).

The spelling of 132242331144231 in words is "one hundred thirty-two trillion, two hundred forty-two billion, three hundred thirty-one million, one hundred forty-four thousand, two hundred thirty-one".