Search a number
-
+
13211125884 = 223211171962437
BaseRepresentation
bin11000100110111000…
…11100100001111100
31021002201001201201200
430103130130201330
5204024022012014
610022532135500
7645245500665
oct142334344174
937081051650
1013211125884
11566a377460
122688467590
131327053168
148d480636c
15524c57a09
hex31371c87c

13211125884 has 72 divisors (see below), whose sum is σ = 38573681328. Its totient is φ = 3767877120.

The previous prime is 13211125883. The next prime is 13211125937. The reversal of 13211125884 is 48852111231.

It is a happy number.

13211125884 is a `hidden beast` number, since 1 + 321 + 1 + 1 + 258 + 84 = 666.

13211125884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211125883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974487 + ... + 987950.

It is an arithmetic number, because the mean of its divisors is an integer number (535745574).

Almost surely, 213211125884 is an apocalyptic number.

It is an amenable number.

13211125884 is an abundant number, since it is smaller than the sum of its proper divisors (25362555444).

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

13211125884 is a wasteful number, since it uses less digits than its factorization.

13211125884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962475 (or 1962470 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 13211125884 in words is "thirteen billion, two hundred eleven million, one hundred twenty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 1962437 3924874 5887311 7849748 11774622 17661933 21586807 23549244 33361429 35323866 43173614 64760421 66722858 70647732 86347228 100084287 129520842 133445716 194281263 200168574 259041684 300252861 366975719 388562526 400337148 600505722 733951438 777125052 1100927157 1201011444 1467902876 2201854314 3302781471 4403708628 6605562942 13211125884