Search a number
-
+
13300032031 = 1113237139227
BaseRepresentation
bin11000110001011111…
…00110001000011111
31021022220100122000221
430120233212020133
5204214302011111
610035425502211
7650405256406
oct143057461037
937286318027
1013300032031
115705580a10
1226b21a1967
13133c5b1250
1490254a63d
1552c96a371
hex318be621f

13300032031 has 16 divisors (see below), whose sum is σ = 15632201088. Its totient is φ = 11155874400.

The previous prime is 13300032017. The next prime is 13300032073. The reversal of 13300032031 is 13023000331.

It is not a de Polignac number, because 13300032031 - 213 = 13300023839 is a prime.

It is a super-2 number, since 2×133000320312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13300031996 and 13300032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300032731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319440 + ... + 358666.

It is an arithmetic number, because the mean of its divisors is an integer number (977012568).

Almost surely, 213300032031 is an apocalyptic number.

13300032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13300032031 is a deficient number, since it is larger than the sum of its proper divisors (2332169057).

13300032031 is a wasteful number, since it uses less digits than its factorization.

13300032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41622.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13300032031 its reverse (13023000331), we get a palindrome (26323032362).

The spelling of 13300032031 in words is "thirteen billion, three hundred million, thirty-two thousand, thirty-one".

Divisors: 1 11 13 143 2371 26081 30823 39227 339053 431497 509951 5609461 93007217 1023079387 1209093821 13300032031