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101083961 = 1116356377
BaseRepresentation
bin1100000011001…
…10101100111001
321001012121010102
412001212230321
5201334141321
614010325145
72335125266
oct601465471
9231177112
10101083961
1152071970
1229a297b5
1317c32cc4
14d5d426d
158d1ac0b
hex6066b39

101083961 has 8 divisors (see below), whose sum is σ = 110951904. Its totient is φ = 91329120.

The previous prime is 101083949. The next prime is 101083967. The reversal of 101083961 is 169380101.

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-101083961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101083967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26396 + ... + 29981.

It is an arithmetic number, because the mean of its divisors is an integer number (13868988).

Almost surely, 2101083961 is an apocalyptic number.

101083961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101083961 is a deficient number, since it is larger than the sum of its proper divisors (9867943).

101083961 is a wasteful number, since it uses less digits than its factorization.

101083961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56551.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 101083961 is about 10054.0519692311. The cubic root of 101083961 is about 465.8299603109.

The spelling of 101083961 in words is "one hundred one million, eighty-three thousand, nine hundred sixty-one".

Divisors: 1 11 163 1793 56377 620147 9189451 101083961