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13023033023 = 71113247107199
BaseRepresentation
bin11000010000011101…
…11011011010111111
31020121121010121211102
430020032323122333
5203132344024043
65552132443315
7640502645210
oct141016733277
936547117742
1013023033023
115583187510
12263547953b
1312c70a7800
148b7843407
155134a16b8
hex3083bb6bf

13023033023 has 96 divisors (see below), whose sum is σ = 18214502400. Its totient is φ = 9036593280.

The previous prime is 13023033011. The next prime is 13023033043. The reversal of 13023033023 is 32033032031.

It is not a de Polignac number, because 13023033023 - 210 = 13023031999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13023032986 and 13023033004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023033043) 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, 65442278 + ... + 65442476.

It is an arithmetic number, because the mean of its divisors is an integer number (189734400).

Almost surely, 213023033023 is an apocalyptic number.

13023033023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13023033023 is a deficient number, since it is larger than the sum of its proper divisors (5191469377).

13023033023 is a wasteful number, since it uses less digits than its factorization.

13023033023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13023033023 its reverse (32033032031), we get a palindrome (45056065054).

The spelling of 13023033023 in words is "thirteen billion, twenty-three million, thirty-three thousand, twenty-three".

Divisors: 1 7 11 13 47 77 91 107 143 169 199 329 517 611 749 1001 1177 1183 1391 1393 1859 2189 2587 3619 4277 5029 6721 7943 8239 9353 9737 13013 15301 15323 18083 18109 21293 28457 33631 35203 47047 55319 55601 65377 65471 87373 102883 107107 121589 126581 149051 198913 199199 234223 235417 276809 369941 387233 457639 611611 719147 720181 849901 851123 1000771 1337479 1392391 1580657 1639561 1937663 2589587 3044899 3598517 5034029 5949307 7005397 9348911 9362353 11008481 11064599 13010023 17387227 21314293 25189619 39583687 65442377 77059367 91070161 121710589 143110253 169130299 277085809 1001771771 1183912093 1860433289 13023033023