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113422221422100 = 223252126024690469
BaseRepresentation
bin11001110010100000101011…
…001101111010111000010100
3112212121001120121220122001100
4121302200223031322320110
5104331302202141001400
61041121241005430100
732614325244612063
oct3162405315727024
9485531517818040
10113422221422100
113315a104099618
1210879ba056b330
134b39892109466
1420019443381da
15d1a58b61a100
hex67282b37ae14

113422221422100 has 54 divisors (see below), whose sum is σ = 355515651815870. Its totient is φ = 30245925712320.

The previous prime is 113422221422093. The next prime is 113422221422113. The reversal of 113422221422100 is 1224122224311.

113422221422100 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 2 + 2 + 221 + 422 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33797224077444 + 79624997344656 = 5813538^2 + 8923284^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 63012344335 + ... + 63012346134.

Almost surely, 2113422221422100 is an apocalyptic number.

113422221422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113422221422100 is an abundant number, since it is smaller than the sum of its proper divisors (242093430393770).

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

113422221422100 is a wasteful number, since it uses less digits than its factorization.

113422221422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126024690489 (or 126024690479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 113422221422100 its reverse (1224122224311), we get a palindrome (114646343646411).

The spelling of 113422221422100 in words is "one hundred thirteen trillion, four hundred twenty-two billion, two hundred twenty-one million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 126024690469 252049380938 378074071407 504098761876 630123452345 756148142814 1134222214221 1260246904690 1512296285628 1890370357035 2268444428442 2520493809380 3150617261725 3780740714070 4536888856884 5671111071105 6301234523450 7561481428140 9451851785175 11342222142210 12602469046900 18903703570350 22684444284420 28355555355525 37807407140700 56711110711050 113422221422100