Search a number
-
+
331002113013 = 33112137793603
BaseRepresentation
bin1001101000100010100…
…00110110101111110101
31011122101002212112202000
410310101100312233311
520410343020104023
6412021004005513
732625353352435
oct4642120665765
91148332775660
10331002113013
11118417077700
1254197b30899
13252a09c0890
14120406c82c5
158924285243
hex4d11436bf5

331002113013 has 48 divisors (see below), whose sum is σ = 580467625920. Its totient is φ = 185175983520.

The previous prime is 331002113009. The next prime is 331002113047. The reversal of 331002113013 is 310311200133.

It is a happy number.

It is not a de Polignac number, because 331002113013 - 22 = 331002113009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002113513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854331 + ... + 3939272.

It is an arithmetic number, because the mean of its divisors is an integer number (12093075540).

Almost surely, 2331002113013 is an apocalyptic number.

331002113013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331002113013 is a deficient number, since it is larger than the sum of its proper divisors (249465512907).

331002113013 is a wasteful number, since it uses less digits than its factorization.

331002113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793647 (or 7793630 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331002113013 its reverse (310311200133), we get a palindrome (641313313146).

The spelling of 331002113013 in words is "three hundred thirty-one billion, two million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 297 351 363 429 1089 1287 1573 3267 3861 4719 14157 42471 7793603 23380809 70142427 85729633 101316839 210427281 257188899 303950517 771566697 911851551 943025963 1114485229 2314700091 2735554653 2829077889 3343455687 8487233667 10030367061 12259337519 25461701001 30091101183 36778012557 110334037671 331002113013