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461121017 = 729410633
BaseRepresentation
bin11011011111000…
…010010111111001
31012010200101010012
4123133002113321
51421021333032
6113431231305
714266315100
oct3337022771
91163611105
10461121017
11217322055
1210a518535
13746c1896
1445355037
152a7386b2
hex1b7c25f9

461121017 has 6 divisors (see below), whose sum is σ = 536406138. Its totient is φ = 395246544.

The previous prime is 461120999. The next prime is 461121029. The reversal of 461121017 is 710121164.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 349839616 + 111281401 = 18704^2 + 10549^2 .

It is not a de Polignac number, because 461121017 - 210 = 461119993 is a prime.

It is a super-2 number, since 2×4611210172 = 425265184638228578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461120983 and 461121001.

It is not an unprimeable number, because it can be changed into a prime (461121097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4705268 + ... + 4705365.

It is an arithmetic number, because the mean of its divisors is an integer number (89401023).

Almost surely, 2461121017 is an apocalyptic number.

It is an amenable number.

461121017 is a deficient number, since it is larger than the sum of its proper divisors (75285121).

461121017 is an equidigital number, since it uses as much as digits as its factorization.

461121017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410647 (or 9410640 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 461121017 is about 21473.7285304625. The cubic root of 461121017 is about 772.5708286108.

The spelling of 461121017 in words is "four hundred sixty-one million, one hundred twenty-one thousand, seventeen".

Divisors: 1 7 49 9410633 65874431 461121017