Search a number
-
+
113143220034 = 231329457109451
BaseRepresentation
bin110100101011111011…
…1001000011101000010
3101211001010221002122220
41221113313020131002
53323204131020114
6123551031511510
711113536334155
oct1512767103502
9354033832586
10113143220034
1143a90441919
1219b17528596
13a891778310
14569482bc9c
152e2302c0a9
hex1a57dc8742

113143220034 has 64 divisors (see below), whose sum is σ = 252650240640. Its totient is φ = 33538982400.

The previous prime is 113143220033. The next prime is 113143220039. The reversal of 113143220034 is 430022341311.

It is a happy number.

113143220034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131432200342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113143219986 and 113143220013.

It is not an unprimeable number, because it can be changed into a prime (113143220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979009 + ... + 1088459.

It is an arithmetic number, because the mean of its divisors is an integer number (3947660010).

Almost surely, 2113143220034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113143220034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126325120320).

113143220034 is an abundant number, since it is smaller than the sum of its proper divisors (139507020606).

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

113143220034 is a wasteful number, since it uses less digits than its factorization.

113143220034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109955.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113143220034 its reverse (430022341311), we get a palindrome (543165561345).

The spelling of 113143220034 in words is "one hundred thirteen billion, one hundred forty-three million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 457 754 914 1131 1371 2262 2742 5941 11882 13253 17823 26506 35646 39759 79518 109451 172289 218902 328353 344578 516867 656706 1033734 1422863 2845726 3174079 4268589 6348158 8537178 9522237 19044474 41263027 50019107 82526054 100038214 123789081 150057321 247578162 300114642 650248391 1300496782 1450554103 1950745173 2901108206 3901490346 4351662309 8703324618 18857203339 37714406678 56571610017 113143220034