Search a number
-
+
13311333132 = 223171035411171
BaseRepresentation
bin11000110010110101…
…01101001100001100
31021100200121210020020
430121122231030030
5204230200130012
610040512022140
7650603315256
oct143132551414
937320553206
1013311333132
11571099a669
1226b5b31950
131341a3a0a6
14903c4ccd6
1552d94da8c
hex3196ad30c

13311333132 has 96 divisors (see below), whose sum is σ = 33295901184. Its totient is φ = 4124390400.

The previous prime is 13311333131. The next prime is 13311333209. The reversal of 13311333132 is 23133311331.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13311333131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11366907 + ... + 11368077.

It is an arithmetic number, because the mean of its divisors is an integer number (346832304).

Almost surely, 213311333132 is an apocalyptic number.

13311333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647950592).

13311333132 is an abundant number, since it is smaller than the sum of its proper divisors (19984568052).

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

13311333132 is a wasteful number, since it uses less digits than its factorization.

13311333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1837 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

Adding to 13311333132 its reverse (23133311331), we get a palindrome (36444644463).

The spelling of 13311333132 in words is "thirteen billion, three hundred eleven million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 541 618 1082 1171 1236 1623 1751 2164 2342 3246 3502 3513 4684 5253 6492 7004 7026 9197 10506 14052 18394 19907 21012 27591 36788 39814 55182 55723 59721 79628 110364 111446 119442 120613 167169 222892 238884 241226 334338 361839 482452 633511 668676 723678 947291 1267022 1447356 1894582 1900533 2050421 2534044 2841873 3789164 3801066 4100842 5683746 6151263 7602132 8201684 10769687 11367492 12302526 21539374 24605052 32309061 43078748 64618122 65251633 129236244 130503266 195754899 261006532 391509798 783019596 1109277761 2218555522 3327833283 4437111044 6655666566 13311333132