Search a number
-
+
13542235212 = 22311296415519
BaseRepresentation
bin11001001110010111…
…00001110001001100
31021221210002211100010
430213023201301030
5210213303011322
610115441033220
7656406046212
oct144713416114
937853084303
1013542235212
11581a269830
12275b325810
13137a823b3c
14926796cb2
15543d5e20c
hex3272e1c4c

13542235212 has 96 divisors (see below), whose sum is σ = 35721907200. Its totient is φ = 3955302400.

The previous prime is 13542235211. The next prime is 13542235219. The reversal of 13542235212 is 21253224531.

It is a self number, because there is not a number n which added to its sum of digits gives 13542235212.

It is not an unprimeable number, because it can be changed into a prime (13542235211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2450989 + ... + 2456507.

It is an arithmetic number, because the mean of its divisors is an integer number (372103200).

Almost surely, 213542235212 is an apocalyptic number.

13542235212 is a gapful number since it is divisible by the number (12) 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 13542235212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860953600).

13542235212 is an abundant number, since it is smaller than the sum of its proper divisors (22179671988).

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

13542235212 is a wasteful number, since it uses less digits than its factorization.

13542235212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6205 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

Adding to 13542235212 its reverse (21253224531), we get a palindrome (34795459743).

The spelling of 13542235212 in words is "thirteen billion, five hundred forty-two million, two hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 641 957 1276 1282 1914 1923 2564 3828 3846 5519 7051 7692 11038 14102 16557 18589 21153 22076 28204 33114 37178 42306 55767 60709 66228 74356 84612 111534 121418 160051 182127 204479 223068 242836 320102 364254 408958 480153 613437 640204 728508 817916 960306 1226874 1760561 1920612 2453748 3521122 3537679 5281683 7042244 7075358 10563366 10613037 14150716 21126732 21226074 38914469 42452148 77828938 102592691 116743407 155657876 205185382 233486814 307778073 410370764 466973628 615556146 1128519601 1231112292 2257039202 3385558803 4514078404 6771117606 13542235212