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113444122330 = 25721121913377
BaseRepresentation
bin110100110100111001…
…0111110111011011010
3101211211010010112000101
41221221302332323122
53324313143403310
6124040541130014
711124152062300
oct1515162767332
9354733115011
10113444122330
1144125282200
1219ba025990a
13a90bc00a06
1456c2798270
152e3e66843a
hex1a69cbeeda

113444122330 has 72 divisors (see below), whose sum is σ = 261095735124. Its totient is φ = 35359188480.

The previous prime is 113444122321. The next prime is 113444122331. The reversal of 113444122330 is 33221444311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109270574721 + 4173547609 = 330561^2 + 64603^2 .

It is a super-3 number, since 3×1134441223303 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113444122331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 897399 + ... + 1015978.

Almost surely, 2113444122330 is an apocalyptic number.

113444122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113444122330 is an abundant number, since it is smaller than the sum of its proper divisors (147651612794).

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

113444122330 is a wasteful number, since it uses less digits than its factorization.

113444122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913420 (or 1913402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 113444122330 its reverse (33221444311), we get a palindrome (146665566641).

The spelling of 113444122330 in words is "one hundred thirteen billion, four hundred forty-four million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 121 154 242 245 385 490 539 605 770 847 1078 1210 1694 2695 4235 5390 5929 8470 11858 29645 59290 1913377 3826754 9566885 13393639 19133770 21047147 26787278 42094294 66968195 93755473 105235735 133936390 147330029 187510946 210471470 231518617 294660058 463037234 468777365 736650145 937554730 1031310203 1157593085 1473300290 1620630319 2062620406 2315186170 3241260638 5156551015 8103151595 10313102030 11344412233 16206303190 22688824466 56722061165 113444122330