Search a number
-
+
13331332300 = 22521121384751
BaseRepresentation
bin11000110101001101…
…11111110011001100
31021102002020211221011
430122212333303030
5204300310113200
610042504415004
7651235312006
oct143246776314
937362224834
1013331332300
11572120a300
122700777464
131345c20010
14906777376
1553059e5ba
hex31a9bfccc

13331332300 has 108 divisors (see below), whose sum is σ = 34244384608. Its totient is φ = 4474800000.

The previous prime is 13331332297. The next prime is 13331332331. The reversal of 13331332300 is 323313331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114925 + ... + 199675.

Almost surely, 213331332300 is an apocalyptic number.

13331332300 is a gapful number since it is divisible by the number (10) 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 13331332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122192304).

13331332300 is an abundant number, since it is smaller than the sum of its proper divisors (20913052308).

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

13331332300 is a wasteful number, since it uses less digits than its factorization.

13331332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84800 (or 84782 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13331332300 its reverse (323313331), we get a palindrome (13654645631).

The spelling of 13331332300 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 220 242 260 275 286 325 484 550 572 605 650 715 1100 1210 1300 1430 1573 2420 2860 3025 3146 3575 6050 6292 7150 7865 12100 14300 15730 31460 39325 78650 84751 157300 169502 339004 423755 847510 932261 1101763 1695020 1864522 2118775 2203526 3729044 4237550 4407052 4661305 5508815 8475100 9322610 10254871 11017630 12119393 18645220 20509742 22035260 23306525 24238786 27544075 41019484 46613050 48477572 51274355 55088150 60596965 93226100 102548710 110176300 121193930 133313323 205097420 242387860 256371775 266626646 302984825 512743550 533253292 605969650 666566615 1025487100 1211939300 1333133230 2666266460 3332833075 6665666150 13331332300