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113222001222 = 232115397111229
BaseRepresentation
bin110100101110010001…
…1101010001001000110
3101211020122011121010200
41221130203222021012
53323334313014342
6124002524231330
711115514063011
oct1513443521106
9354218147120
10113222001222
1144020960340
1219b3999b546
13a8a4b9c9c5
1456a1098378
152e29dde94c
hex1a5c8ea246

113222001222 has 96 divisors (see below), whose sum is σ = 275478446880. Its totient is φ = 33315010560.

The previous prime is 113222001209. The next prime is 113222001227. The reversal of 113222001222 is 222100222311.

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 = 113222001195 and 113222001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113222001227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962304 + ... + 1073532.

It is an arithmetic number, because the mean of its divisors is an integer number (2869567155).

Almost surely, 2113222001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113222001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137739223440).

113222001222 is an abundant number, since it is smaller than the sum of its proper divisors (162256445658).

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

113222001222 is a wasteful number, since it uses less digits than its factorization.

113222001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111398 (or 111395 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113222001222 its reverse (222100222311), we get a palindrome (335322223533).

Subtracting 113222001222 from its reverse (222100222311), we obtain a square (108878221089 = 3299672).

The spelling of 113222001222 in words is "one hundred thirteen billion, two hundred twenty-two million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 97 99 106 159 194 198 291 318 477 582 583 873 954 1067 1166 1746 1749 2134 3201 3498 5141 5247 6402 9603 10282 10494 15423 19206 30846 46269 56551 92538 111229 113102 169653 222458 333687 339306 508959 667374 1001061 1017918 1223519 2002122 2447038 3670557 5895137 7341114 10789213 11011671 11790274 17685411 21578426 22023342 32367639 35370822 53056233 64735278 64846507 97102917 106112466 118681343 129693014 194205834 194539521 237362686 356044029 389079042 571828289 583618563 712088058 1068132087 1143656578 1167237126 1715484867 2136264174 3430969734 5146454601 6290111179 10292909202 12580222358 18870333537 37740667074 56611000611 113222001222