Search a number
-
+
112431334000 = 2453376114947
BaseRepresentation
bin110100010110101101…
…1100000001001110000
3101202012112101112121111
41220231123200021300
53320224410142000
6123352241403104
711060103366526
oct1505533401160
9352175345544
10112431334000
1143755614357
1219959039494
13a7aa136a8b
14562807c316
152dd07accba
hex1a2d6e0270

112431334000 has 80 divisors (see below), whose sum is σ = 271949442336. Its totient is φ = 44957568000.

The previous prime is 112431333991. The next prime is 112431334049. The reversal of 112431334000 is 433134211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7514527 + ... + 7529473.

Almost surely, 2112431334000 is an apocalyptic number.

112431334000 is a gapful number since it is divisible by the number (10) 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 112431334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135974721168).

112431334000 is an abundant number, since it is smaller than the sum of its proper divisors (159518108336).

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

112431334000 is a wasteful number, since it uses less digits than its factorization.

112431334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18731 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 112431334000 its reverse (433134211), we get a palindrome (112864468211).

The spelling of 112431334000 in words is "one hundred twelve billion, four hundred thirty-one million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3761 7522 14947 15044 18805 29894 30088 37610 59788 60176 74735 75220 94025 119576 149470 150440 188050 239152 298940 300880 373675 376100 470125 597880 747350 752200 940250 1195760 1494700 1504400 1868375 1880500 2989400 3736750 3761000 5978800 7473500 7522000 14947000 29894000 56215667 112431334 224862668 281078335 449725336 562156670 899450672 1124313340 1405391675 2248626680 2810783350 4497253360 5621566700 7026958375 11243133400 14053916750 22486266800 28107833500 56215667000 112431334000