Search a number
-
+
13312020132 = 22322322377187
BaseRepresentation
bin11000110010111010…
…10100111010100100
31021100201220200121200
430121131110322210
5204230334121012
610040534442500
7650612206215
oct143135247244
937321820550
1013312020132
115711319834
1226b6203430
131341c1a9b8
14903d8b40c
1552da373dc
hex319754ea4

13312020132 has 72 divisors (see below), whose sum is σ = 35133448896. Its totient is φ = 4241924544.

The previous prime is 13312020107. The next prime is 13312020149. The reversal of 13312020132 is 23102021331.

13312020132 is a `hidden beast` number, since 1 + 331 + 202 + 0 + 132 = 666.

13312020132 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 (18).

It is an unprimeable number.

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, 1848643 + ... + 1855829.

It is an arithmetic number, because the mean of its divisors is an integer number (487964568).

Almost surely, 213312020132 is an apocalyptic number.

13312020132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312020132 is an abundant number, since it is smaller than the sum of its proper divisors (21821428764).

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

13312020132 is a wasteful number, since it uses less digits than its factorization.

13312020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13312020132 its reverse (23102021331), we get a palindrome (36414041463).

The spelling of 13312020132 in words is "thirteen billion, three hundred twelve million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2237 4474 6711 7187 8948 13422 14374 20133 21561 26844 28748 40266 43122 51451 64683 80532 86244 102902 129366 154353 165301 205804 258732 308706 330602 463059 495903 617412 661204 926118 991806 1487709 1852236 1983612 2975418 5950836 16077319 32154638 48231957 64309276 96463914 144695871 192927828 289391742 369778337 578783484 739556674 1109335011 1479113348 2218670022 3328005033 4437340044 6656010066 13312020132