Search a number
-
+
113211311004 = 223211538153129
BaseRepresentation
bin110100101101111101…
…0111000001110011100
3101211012220001110220200
41221123322320032130
53323324043423004
6124001503143500
711115324160131
oct1513372701634
9354186043820
10113211311004
1144015919650
1219b362a4b90
13a8a28c8c2c
14569d8b4588
152e28ecc239
hex1a5beb839c

113211311004 has 72 divisors (see below), whose sum is σ = 312252660720. Its totient is φ = 34299436800.

The previous prime is 113211310987. The next prime is 113211311009. The reversal of 113211311004 is 400113112311.

It is a happy number.

It is a super-2 number, since 2×1132113110042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113211311009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104312 + ... + 2157440.

It is an arithmetic number, because the mean of its divisors is an integer number (4336842510).

Almost surely, 2113211311004 is an apocalyptic number.

It is an amenable number.

113211311004 is an abundant number, since it is smaller than the sum of its proper divisors (199041349716).

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

113211311004 is a wasteful number, since it uses less digits than its factorization.

113211311004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58531 (or 58526 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113211311004 its reverse (400113112311), we get a palindrome (513324423315).

The spelling of 113211311004 in words is "one hundred thirteen billion, two hundred eleven million, three hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5381 10762 16143 21524 32286 48429 53129 59191 64572 96858 106258 118382 159387 177573 193716 212516 236764 318774 355146 478161 532719 584419 637548 710292 956322 1065438 1168838 1753257 1912644 2130876 2337676 3506514 5259771 7013028 10519542 21039084 285887149 571774298 857661447 1143548596 1715322894 2572984341 3144758639 3430645788 5145968682 6289517278 9434275917 10291937364 12579034556 18868551834 28302827751 37737103668 56605655502 113211311004