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968052121 = 17327720201
BaseRepresentation
bin111001101100110…
…100110110011001
32111110120010212021
4321230310312121
53440310131441
6240020414441
732663210251
oct7154646631
92443503767
10968052121
11457492983
12230247421
1312573270a
14927d2961
1559ec03d1
hex39b34d99

968052121 has 8 divisors (see below), whose sum is σ = 977211144. Its totient is φ = 958934400.

The previous prime is 968052101. The next prime is 968052149. The reversal of 968052121 is 121250869.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 963792025 = 2064^2 + 31045^2 .

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 968052121 - 229 = 431181209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968052101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37821 + ... + 58021.

It is an arithmetic number, because the mean of its divisors is an integer number (122151393).

Almost surely, 2968052121 is an apocalyptic number.

It is an amenable number.

968052121 is a deficient number, since it is larger than the sum of its proper divisors (9159023).

968052121 is a wasteful number, since it uses less digits than its factorization.

968052121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651.

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 968052121 is about 31113.5359771274. The cubic root of 968052121 is about 989.2352428093.

The spelling of 968052121 in words is "nine hundred sixty-eight million, fifty-two thousand, one hundred twenty-one".

Divisors: 1 173 277 20201 47921 3494773 5595677 968052121