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13023013014 = 232113179107251
BaseRepresentation
bin11000010000011101…
…10110100010010110
31020121121002121101100
430020032312202112
5203132342404024
65552132210530
7640502532654
oct141016664226
936547077340
1013023013014
115583173480
122635469a46
1312c709b67b
148b7839dd4
1551349a7c9
hex3083b6896

13023013014 has 192 divisors, whose sum is σ = 32606945280. Its totient is φ = 3720600000.

The previous prime is 13023013009. The next prime is 13023013019. The reversal of 13023013014 is 41031032031.

13023013014 is a `hidden beast` number, since 130 + 230 + 1 + 301 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13023013009) and next prime (13023013019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023013019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51884389 + ... + 51884639.

It is an arithmetic number, because the mean of its divisors is an integer number (169827840).

Almost surely, 213023013014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023013014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303472640).

13023013014 is an abundant number, since it is smaller than the sum of its proper divisors (19583932266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023013014 is a wasteful number, since it uses less digits than its factorization.

13023013014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13023013014 its reverse (41031032031), we get a palindrome (54054045045).

The spelling of 13023013014 in words is "thirteen billion, twenty-three million, thirteen thousand, fourteen".