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133242334110 = 232531128337223
BaseRepresentation
bin111110000010111011…
…1001010101110011110
3110201220212221212212100
41330011313022232132
54140340014142420
6141113301345530
712424604103324
oct1740567125636
9421825855770
10133242334110
11515649077a6
12219a67082a6
13c745846422
14663dd53d14
1536ec825190
hex1f05dcab9e

133242334110 has 96 divisors (see below), whose sum is σ = 357893572608. Its totient is φ = 34357394880.

The previous prime is 133242334109. The next prime is 133242334123. The reversal of 133242334110 is 11433242331.

It is a happy number.

133242334110 is a `hidden beast` number, since 1 + 3 + 3 + 242 + 3 + 3 + 411 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3560959 + ... + 3598181.

It is an arithmetic number, because the mean of its divisors is an integer number (3728058048).

Almost surely, 2133242334110 is an apocalyptic number.

133242334110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133242334110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178946786304).

133242334110 is an abundant number, since it is smaller than the sum of its proper divisors (224651238498).

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

133242334110 is a wasteful number, since it uses less digits than its factorization.

133242334110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38550 (or 38547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133242334110 its reverse (11433242331), we get a palindrome (144675576441).

The spelling of 133242334110 in words is "one hundred thirty-three billion, two hundred forty-two million, three hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1283 1395 2566 2790 3849 6415 7698 11547 12830 19245 23094 37223 38490 39773 57735 74446 79546 111669 115470 119319 186115 198865 223338 238638 335007 357957 372230 397730 558345 596595 670014 715914 1116690 1153913 1193190 1675035 1789785 2307826 3350070 3461739 3579570 5769565 6923478 10385217 11539130 17308695 20770434 34617390 47757109 51926085 95514218 103852170 143271327 238785545 286542654 429813981 477571090 716356635 859627962 1432713270 1480470379 2149069905 2960940758 4298139810 4441411137 7402351895 8882822274 13324233411 14804703790 22207055685 26648466822 44414111370 66621167055 133242334110