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132100101331 = 1141349839269
BaseRepresentation
bin111101100000111000…
…1111001010011010011
3110121222021122110001121
41323001301321103103
54131020111220311
6140404055343111
712354364222522
oct1730161712323
9417867573047
10132100101331
1151029077370
1221728081a97
13c5c2cc9843
1465723804b9
1536823eab71
hex1ec1c794d3

132100101331 has 16 divisors (see below), whose sum is σ = 148047228000. Its totient is φ = 116826105600.

The previous prime is 132100101319. The next prime is 132100101359. The reversal of 132100101331 is 133101001231.

It is a cyclic number.

It is not a de Polignac number, because 132100101331 - 211 = 132100099283 is a prime.

It is a super-2 number, since 2×1321001013312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132100101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262236 + ... + 577033.

It is an arithmetic number, because the mean of its divisors is an integer number (9252951750).

Almost surely, 2132100101331 is an apocalyptic number.

132100101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132100101331 is a deficient number, since it is larger than the sum of its proper divisors (15947126669).

132100101331 is a wasteful number, since it uses less digits than its factorization.

132100101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839670.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 132100101331 its reverse (133101001231), we get a palindrome (265201102562).

The spelling of 132100101331 in words is "one hundred thirty-two billion, one hundred million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 11 41 349 451 3839 14309 157399 839269 9231959 34410029 292904881 378510319 3221953691 12009100121 132100101331