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112313302230 = 23553791038681
BaseRepresentation
bin110100010011001100…
…1001111110011010110
3101201220022021220110110
41220212121033303112
53320004201132410
6123332423503450
711054141213553
oct1504631176326
9351808256413
10112313302230
11436a4a27338
12199255b7b86
13a78b84b9ac
145616515a2a
152dc5245720
hex1a2664fcd6

112313302230 has 128 divisors (see below), whose sum is σ = 280846725120. Its totient is φ = 28728161280.

The previous prime is 112313302207. The next prime is 112313302243. The reversal of 112313302230 is 32203313211.

112313302230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123133022302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313302197 and 112313302206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12933490 + ... + 12942170.

It is an arithmetic number, because the mean of its divisors is an integer number (2194115040).

Almost surely, 2112313302230 is an apocalyptic number.

112313302230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112313302230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140423362560).

112313302230 is an abundant number, since it is smaller than the sum of its proper divisors (168533422890).

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

112313302230 is a wasteful number, since it uses less digits than its factorization.

112313302230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 112313302230 its reverse (32203313211), we get a palindrome (144516615441).

The spelling of 112313302230 in words is "one hundred twelve billion, three hundred thirteen million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 79 103 106 158 159 206 237 265 309 318 395 474 515 530 618 790 795 1030 1185 1545 1590 2370 3090 4187 5459 8137 8374 8681 10918 12561 16274 16377 17362 20935 24411 25122 26043 27295 32754 40685 41870 43405 48822 52086 54590 62805 81370 81885 86810 122055 125610 130215 163770 244110 260430 431261 460093 685799 862522 894143 920186 1293783 1371598 1380279 1788286 2057397 2156305 2300465 2587566 2682429 2760558 3428995 4114794 4312610 4470715 4600930 5364858 6468915 6857990 6901395 8941430 10286985 12937830 13412145 13802790 20573970 26824290 36347347 47389579 70637297 72694694 94779158 109042041 141274594 142168737 181736735 211911891 218084082 236947895 284337474 353186485 363473470 423823782 473895790 545210205 706372970 710843685 1059559455 1090420410 1421687370 2119118910 3743776741 7487553482 11231330223 18718883705 22462660446 37437767410 56156651115 112313302230