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1010513023 = 1325979367
BaseRepresentation
bin111100001110110…
…011010001111111
32121102110101021021
4330032303101333
54032142404043
6244134445011
734020135052
oct7416632177
92542411237
101010513023
11479454433
12242503767
1313147b400
14982c6a99
155daab3ed
hex3c3b347f

1010513023 has 6 divisors (see below), whose sum is σ = 1094224344. Its totient is φ = 932781096.

The previous prime is 1010513017. The next prime is 1010513041. The reversal of 1010513023 is 3203150101.

It is not a de Polignac number, because 1010513023 - 25 = 1010512991 is a prime.

It is a super-2 number, since 2×10105130232 = 2042273139305197058, 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 = 1010512988 and 1010513006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010513003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2989515 + ... + 2989852.

It is an arithmetic number, because the mean of its divisors is an integer number (182370724).

Almost surely, 21010513023 is an apocalyptic number.

1010513023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1010513023 is a deficient number, since it is larger than the sum of its proper divisors (83711321).

1010513023 is an equidigital number, since it uses as much as digits as its factorization.

1010513023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979393 (or 5979380 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1010513023 is about 31788.5674889574. The cubic root of 1010513023 is about 1003.4921318199.

Adding to 1010513023 its reverse (3203150101), we get a palindrome (4213663124).

The spelling of 1010513023 in words is "one billion, ten million, five hundred thirteen thousand, twenty-three".

Divisors: 1 13 169 5979367 77731771 1010513023