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13121032023 = 3311242318233
BaseRepresentation
bin11000011100001001…
…10000111101010111
31020212102112111012000
430032010300331113
5203332441011043
610005553130343
7643102634451
oct141604607527
936772474160
1013121032023
115623531620
1226622599b3
13131149a598
148c68732d1
1551bdad2d3
hex30e130f57

13121032023 has 32 divisors (see below), whose sum is σ = 21215623680. Its totient is φ = 7948422720.

The previous prime is 13121032013. The next prime is 13121032037. The reversal of 13121032023 is 32023012131.

13121032023 is a `hidden beast` number, since 1 + 312 + 10 + 320 + 23 = 666.

13121032023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121032023 - 210 = 13121030999 is a prime.

It is a super-2 number, since 2×131210320232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121031987 and 13121032005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121032003) 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 31 ways as a sum of consecutive naturals, for example, 710515 + ... + 728747.

It is an arithmetic number, because the mean of its divisors is an integer number (662988240).

Almost surely, 213121032023 is an apocalyptic number.

13121032023 is a deficient number, since it is larger than the sum of its proper divisors (8094591657).

13121032023 is a wasteful number, since it uses less digits than its factorization.

13121032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20670 counting only the distinct ones).

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

Adding to 13121032023 its reverse (32023012131), we get a palindrome (45144044154).

The spelling of 13121032023 in words is "thirteen billion, one hundred twenty-one million, thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 27 33 99 297 2423 7269 18233 21807 26653 54699 65421 79959 164097 200563 239877 492291 601689 719631 1805067 5415201 44178559 132535677 397607031 485964149 1192821093 1457892447 4373677341 13121032023