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23300113122 = 232111341220783
BaseRepresentation
bin10101101100110010…
…111000001011100010
32020010211021101101200
4111230302320023202
5340204312104442
614412014142030
71453253456646
oct255462701342
966124241350
1023300113122
119977340940
1246231b1916
1322742c95b0
1411b06d0c26
1591584234c
hex56ccb82e2

23300113122 has 96 divisors (see below), whose sum is σ = 60756224256. Its totient is φ = 6358521600.

The previous prime is 23300113093. The next prime is 23300113189. The reversal of 23300113122 is 22131100332.

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 = 23300113095 and 23300113104.

It is an unprimeable number.

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, 4858 + ... + 215925.

It is an arithmetic number, because the mean of its divisors is an integer number (632877336).

Almost surely, 223300113122 is an apocalyptic number.

23300113122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23300113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30378112128).

23300113122 is an abundant number, since it is smaller than the sum of its proper divisors (37456111134).

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

23300113122 is a wasteful number, since it uses less digits than its factorization.

23300113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220856 (or 220853 counting only the distinct ones).

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

Adding to 23300113122 its reverse (22131100332), we get a palindrome (45431213454).

The spelling of 23300113122 in words is "twenty-three billion, three hundred million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 41 66 78 82 99 117 123 143 198 234 246 286 369 429 451 533 738 858 902 1066 1287 1353 1599 2574 2706 3198 4059 4797 5863 8118 9594 11726 17589 35178 52767 105534 220783 441566 662349 1324698 1987047 2428613 2870179 3974094 4857226 5740358 7285839 8610537 9052103 14571678 17221074 18104206 21857517 25831611 27156309 31571969 43715034 51663222 54312618 63143938 81468927 94715907 99573133 117677339 162937854 189431814 199146266 235354678 284147721 298719399 353032017 568295442 597438798 706064034 896158197 1059096051 1294450729 1792316394 2118192102 2588901458 3883352187 7766704374 11650056561 23300113122