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131334234112 = 21359271729
BaseRepresentation
bin111101001010000100…
…0010110000000000000
3110112222220112100202001
41322110020112000000
54122433030442422
6140200100233344
712326404366504
oct1722410260000
9415886470661
10131334234112
1150775829a54
122155369b854
13c500437a83
1464dc77c304
15363a067227
hex1e94216000

131334234112 has 56 divisors (see below), whose sum is σ = 267105155400. Its totient is φ = 64553877504.

The previous prime is 131334234023. The next prime is 131334234113. The reversal of 131334234112 is 211432433131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131334234113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347464 + ... + 619192.

Almost surely, 2131334234112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131334234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133552577700).

131334234112 is an abundant number, since it is smaller than the sum of its proper divisors (135770921288).

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

131334234112 is an frugal number, since it uses more digits than its factorization.

131334234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271814 (or 271790 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 131334234112 its reverse (211432433131), we get a palindrome (342766667243).

The spelling of 131334234112 in words is "one hundred thirty-one billion, three hundred thirty-four million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 2048 3776 4096 7552 8192 15104 30208 60416 120832 241664 271729 483328 543458 1086916 2173832 4347664 8695328 16032011 17390656 32064022 34781312 64128044 69562624 128256088 139125248 256512176 278250496 513024352 556500992 1026048704 1113001984 2052097408 2226003968 4104194816 8208389632 16416779264 32833558528 65667117056 131334234112