Search a number
-
+
13011313033332 = 2233833111446089
BaseRepresentation
bin1011110101010110111010…
…1100010000000001110100
31201001212110202222011112000
42331111232230100001310
53201134132114031312
643401151550055300
72512015315656015
oct275255654200164
951055422864460
1013011313033332
114167081004119
12156181a4aa530
13734c666c4c93
1432da726dd00c
151786c295badc
hexbd56eb10074

13011313033332 has 48 divisors (see below), whose sum is σ = 33733462022400. Its totient is φ = 4337049286080.

The previous prime is 13011313033307. The next prime is 13011313033421. The reversal of 13011313033332 is 23333031311031.

13011313033332 is a `hidden beast` number, since 1 + 3 + 0 + 11 + 313 + 0 + 3 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13011313033296 and 13011313033305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8274544 + ... + 9720632.

It is an arithmetic number, because the mean of its divisors is an integer number (702780458800).

Almost surely, 213011313033332 is an apocalyptic number.

13011313033332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13011313033332 is an abundant number, since it is smaller than the sum of its proper divisors (20722148989068).

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

13011313033332 is a wasteful number, since it uses less digits than its factorization.

13011313033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529413 (or 1529405 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13011313033332 its reverse (23333031311031), we get a palindrome (36344344344363).

The spelling of 13011313033332 in words is "thirteen trillion, eleven billion, three hundred thirteen million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 83311 166622 249933 333244 499866 749799 999732 1446089 1499598 2249397 2892178 2999196 4338267 4498794 5784356 8676534 8997588 13014801 17353068 26029602 39044403 52059204 78088806 156177612 120475120679 240950241358 361425362037 481900482716 722850724074 1084276086111 1445701448148 2168552172222 3252828258333 4337104344444 6505656516666 13011313033332