Search a number
-
+
13132332120 = 2335502321787
BaseRepresentation
bin11000011101011111…
…10111110001011000
31020220012210121000010
430032233313301120
5203343334111440
610011035241520
7643300660365
oct141657676130
936805717003
1013132332120
11562994a546
122665ba92a0
131313925b2b
148c817546c
1551cd91580
hex30ebf7c58

13132332120 has 64 divisors (see below), whose sum is σ = 39406648320. Its totient is φ = 3501097344.

The previous prime is 13132332097. The next prime is 13132332121. The reversal of 13132332120 is 2123323131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132332121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591867 + ... + 613653.

It is an arithmetic number, because the mean of its divisors is an integer number (615728880).

Almost surely, 213132332120 is an apocalyptic number.

13132332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132332120 is an abundant number, since it is smaller than the sum of its proper divisors (26274316200).

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

13132332120 is a wasteful number, since it uses less digits than its factorization.

13132332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26824 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13132332120 its reverse (2123323131), we get a palindrome (15255655251).

The spelling of 13132332120 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5023 10046 15069 20092 21787 25115 30138 40184 43574 50230 60276 65361 75345 87148 100460 108935 120552 130722 150690 174296 200920 217870 261444 301380 326805 435740 522888 602760 653610 871480 1307220 2614440 109436101 218872202 328308303 437744404 547180505 656616606 875488808 1094361010 1313233212 1641541515 2188722020 2626466424 3283083030 4377444040 6566166060 13132332120