Search a number
-
+
112333233330 = 232529113380881
BaseRepresentation
bin110100010011110010…
…1010001110010110010
3101201221200210111210100
41220213211101302302
53320024301431310
6123334415013230
711054502504663
oct1504745216262
9351850714710
10112333233330
11437051aa91a
121993020a216
13a792a09946
14561902336a
152dc6d80ec0
hex1a27951cb2

112333233330 has 96 divisors (see below), whose sum is σ = 304812246960. Its totient is φ = 28666552320.

The previous prime is 112333233269. The next prime is 112333233349. The reversal of 112333233330 is 33332333211.

112333233330 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 323 + 3 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39039041889 + 73294191441 = 197583^2 + 270729^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112333233294 and 112333233303.

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, 104490 + ... + 485370.

Almost surely, 2112333233330 is an apocalyptic number.

112333233330 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 112333233330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152406123480).

112333233330 is an abundant number, since it is smaller than the sum of its proper divisors (192479013630).

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

112333233330 is a wasteful number, since it uses less digits than its factorization.

112333233330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381036 (or 381033 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 112333233330 its reverse (33332333211), we get a palindrome (145665566541).

The spelling of 112333233330 in words is "one hundred twelve billion, three hundred thirty-three million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 113 145 174 226 261 290 339 435 522 565 678 870 1017 1130 1305 1695 2034 2610 3277 3390 5085 6554 9831 10170 16385 19662 29493 32770 49155 58986 98310 147465 294930 380881 761762 1142643 1904405 2285286 3427929 3808810 5713215 6855858 11045549 11426430 17139645 22091098 33136647 34279290 43039553 55227745 66273294 86079106 99409941 110455490 129118659 165683235 198819882 215197765 258237318 331366470 387355977 430395530 497049705 645593295 774711954 994099410 1248147037 1291186590 1936779885 2496294074 3744441111 3873559770 6240735185 7488882222 11233323333 12481470370 18722205555 22466646666 37444411110 56166616665 112333233330