Search a number
-
+
202132424124 = 2232131358111969
BaseRepresentation
bin1011110001000000001…
…0000000010110111100
3201022201221211001110200
42330100002000112330
511302431400032444
6232505223203500
720414013153651
oct2742002002674
9638657731420
10202132424124
11787a6535a94
12332118a6590
13160a40504b7
149ad73abc28
1553d0793969
hex2f100805bc

202132424124 has 72 divisors (see below), whose sum is σ = 515032998480. Its totient is φ = 66838886400.

The previous prime is 202132424111. The next prime is 202132424129. The reversal of 202132424124 is 421424231202.

It is a happy number.

202132424124 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 3 + 242 + 412 + 4 = 666.

202132424124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202132424129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16882012 + ... + 16893980.

It is an arithmetic number, because the mean of its divisors is an integer number (7153236090).

Almost surely, 2202132424124 is an apocalyptic number.

It is an amenable number.

202132424124 is an abundant number, since it is smaller than the sum of its proper divisors (312900574356).

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

202132424124 is a wasteful number, since it uses less digits than its factorization.

202132424124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15691 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202132424124 its reverse (421424231202), we get a palindrome (623556655326).

The spelling of 202132424124 in words is "two hundred two billion, one hundred thirty-two million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 3581 4716 7162 10743 11969 14324 21486 23938 32229 35907 42972 47876 64458 71814 107721 128916 143628 215442 430884 469111 938222 1407333 1567939 1876444 2814666 3135878 4221999 4703817 5629332 6271756 8443998 9407634 14111451 16887996 18815268 28222902 42860989 56445804 85721978 128582967 171443956 257165934 385748901 514331868 771497802 1542995604 5614789559 11229579118 16844368677 22459158236 33688737354 50533106031 67377474708 101066212062 202132424124