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113313002022 = 23211896430201
BaseRepresentation
bin110100110000111111…
…0110011001000100110
3101211110222101220202200
41221201332303020212
53324031112031042
6124015534515330
711121000424323
oct1514176631046
9354428356680
10113313002022
1144068265610
1219b64365b46
13a8ba9b232c
1456ad1c5b4a
152e32db7c4c
hex1a61fb3226

113313002022 has 48 divisors (see below), whose sum is σ = 270840108240. Its totient is φ = 33951456000.

The previous prime is 113313001993. The next prime is 113313002059. The reversal of 113313002022 is 220200313311.

113313002022 is a `hidden beast` number, since 11 + 331 + 300 + 2 + 0 + 22 = 666.

It is a super-3 number, since 3×1133130020223 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113313001986 and 113313002004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3197479 + ... + 3232722.

It is an arithmetic number, because the mean of its divisors is an integer number (5642502255).

Almost surely, 2113313002022 is an apocalyptic number.

113313002022 is an abundant number, since it is smaller than the sum of its proper divisors (157527106218).

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

113313002022 is a wasteful number, since it uses less digits than its factorization.

113313002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430309 (or 6430306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113313002022 its reverse (220200313311), we get a palindrome (333513315333).

The spelling of 113313002022 in words is "one hundred thirteen billion, three hundred thirteen million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 5874 8811 17622 6430201 12860402 19290603 38581206 57871809 70732211 115743618 141464422 212196633 424393266 572287889 636589899 1144575778 1273179798 1716863667 3433727334 5150591001 6295166779 10301182002 12590333558 18885500337 37771000674 56656501011 113313002022