Search a number
-
+
113322200121104 = 241319492293121909
BaseRepresentation
bin11001110001000011100001…
…011110111011111100010000
3112212020111101222012002022212
4121301003201132323330100
5104323132331212333404
61041003300002051252
732604154521565412
oct3161034136737420
9485214358162285
10113322200121104
1133120747734797
1210862727649b28
134b3031207c3a0
141ddab765309b2
15d17b855c406e
hex6710e17bbf10

113322200121104 has 80 divisors (see below), whose sum is σ = 236677561302000. Its totient is φ = 52252491737088.

The previous prime is 113322200121103. The next prime is 113322200121199. The reversal of 113322200121104 is 401121002223311.

It can be written as a sum of positive squares in 8 ways, for example, as 2324344176400 + 110997855944704 = 1524580^2 + 10535552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113322200121104.

It is not an unprimeable number, because it can be changed into a prime (113322200121103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929502902 + ... + 929624810.

It is an arithmetic number, because the mean of its divisors is an integer number (2958469516275).

Almost surely, 2113322200121104 is an apocalyptic number.

It is an amenable number.

113322200121104 is an abundant number, since it is smaller than the sum of its proper divisors (123355361180896).

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

113322200121104 is a wasteful number, since it uses less digits than its factorization.

113322200121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126172 (or 126166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 113322200121104 its reverse (401121002223311), we get a palindrome (514443202344415).

The spelling of 113322200121104 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1949 2293 3898 4586 7796 9172 15592 18344 25337 29809 31184 36688 50674 59618 101348 119236 121909 202696 238472 243818 405392 476944 487636 975272 1584817 1950544 3169634 4469057 6339268 8938114 12678536 17876228 25357072 35752456 58097741 71504912 116195482 232390964 237600641 279537337 464781928 475201282 559074674 929563856 950402564 1118149348 1900805128 2236298696 3088808333 3633985381 3801610256 4472597392 6177616666 7267970762 12355233332 14535941524 24710466664 29071883048 49420933328 58143766096 544818269813 1089636539626 2179273079252 4358546158504 7082637507569 8717092317008 14165275015138 28330550030276 56661100060552 113322200121104