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101131041 = 3113064577
BaseRepresentation
bin1100000011100…
…10001100100001
321001021222201010
412001302030201
5201342143131
614011331133
72335412454
oct601621441
9231258633
10101131041
11520a4280
1229a50aa9
1317c4b56b
14d60749b
158d29b46
hex6072321

101131041 has 8 divisors (see below), whose sum is σ = 147099744. Its totient is φ = 61291520.

The previous prime is 101131039. The next prime is 101131067. The reversal of 101131041 is 140131101.

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 101131041 - 21 = 101131039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131031) 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, 1532256 + ... + 1532321.

It is an arithmetic number, because the mean of its divisors is an integer number (18387468).

Almost surely, 2101131041 is an apocalyptic number.

101131041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101131041 is a deficient number, since it is larger than the sum of its proper divisors (45968703).

101131041 is a wasteful number, since it uses less digits than its factorization.

101131041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064591.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101131041 is about 10056.3930412450. The cubic root of 101131041 is about 465.9022694104.

Adding to 101131041 its reverse (140131101), we get a palindrome (241262142).

The spelling of 101131041 in words is "one hundred one million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 11 33 3064577 9193731 33710347 101131041