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101131331 = 731466043
BaseRepresentation
bin1100000011100…
…10010001000011
321001022000002212
412001302101003
5201342200311
614011332335
72335413350
oct601622103
9231260085
10101131331
11520a4514
1229a510ab
1317c4b732
14d607627
158d29c8b
hex6072443

101131331 has 8 divisors (see below), whose sum is σ = 119307264. Its totient is φ = 83887560.

The previous prime is 101131321. The next prime is 101131339. The reversal of 101131331 is 133131101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101131331 is a prime.

It is a super-2 number, since 2×1011313312 = 20455092219663122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131339) 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, 232805 + ... + 233238.

It is an arithmetic number, because the mean of its divisors is an integer number (14913408).

Almost surely, 2101131331 is an apocalyptic number.

101131331 is a deficient number, since it is larger than the sum of its proper divisors (18175933).

101131331 is an equidigital number, since it uses as much as digits as its factorization.

101131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466081.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 101131331 is about 10056.4074599233. The cubic root of 101131331 is about 465.9027147453.

Adding to 101131331 its reverse (133131101), we get a palindrome (234262432).

The spelling of 101131331 in words is "one hundred one million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 31 217 466043 3262301 14447333 101131331