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101287131 = 3116015107
BaseRepresentation
bin1100000100110…
…00010011011011
321001120220211020
412002120103123
5201412142011
614014533523
72336632521
oct602302333
9231526736
10101287131
11521a0580
1229b072a3
1317ca461a
14d648311
158d5b006
hex60984db

101287131 has 16 divisors (see below), whose sum is σ = 147600768. Its totient is φ = 61272000.

The previous prime is 101287117. The next prime is 101287159. The reversal of 101287131 is 131782101.

It is a happy number.

It is not a de Polignac number, because 101287131 - 211 = 101285083 is a prime.

It is a super-2 number, since 2×1012871312 = 20518165812422322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101287171) 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, 17280 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (9225048).

Almost surely, 2101287131 is an apocalyptic number.

101287131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101287131 is a deficient number, since it is larger than the sum of its proper divisors (46313637).

101287131 is a wasteful number, since it uses less digits than its factorization.

101287131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722.

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 101287131 is about 10064.1507838466. The cubic root of 101287131 is about 466.1418440656.

The spelling of 101287131 in words is "one hundred one million, two hundred eighty-seven thousand, one hundred thirty-one".

Divisors: 1 3 11 33 601 1803 5107 6611 15321 19833 56177 168531 3069307 9207921 33762377 101287131