Search a number
-
+
12213200201016 = 23323149178983003
BaseRepresentation
bin1011000110111001101101…
…1101011010010100111000
31121020120101220212110220210
42301232123131122110320
53100100113222413031
641550400002151120
72400242325556413
oct261563335322470
947216356773823
1012213200201016
113989653130441
1214530000524a0
136a7913708399
1430319cc60b7a
15162a60190746
hexb1b9b75a538

12213200201016 has 128 divisors (see below), whose sum is σ = 32092666560000. Its totient is φ = 3865720539648.

The previous prime is 12213200200997. The next prime is 12213200201017. The reversal of 12213200201016 is 61010200231221.

It is a junction number, because it is equal to n+sod(n) for n = 12213200200983 and 12213200201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213200201017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147100171 + ... + 147183173.

It is an arithmetic number, because the mean of its divisors is an integer number (250723957500).

Almost surely, 212213200201016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213200201016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046333280000).

12213200201016 is an abundant number, since it is smaller than the sum of its proper divisors (19879466358984).

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

12213200201016 is a wasteful number, since it uses less digits than its factorization.

12213200201016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84973 (or 84969 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12213200201016 its reverse (61010200231221), we get a palindrome (73223400432237).

The spelling of 12213200201016 in words is "twelve trillion, two hundred thirteen billion, two hundred million, two hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 149 184 276 298 447 552 596 894 1192 1788 1789 3427 3576 3578 5367 6854 7156 10281 10734 13708 14312 20562 21468 27416 41124 41147 42936 82248 82294 83003 123441 164588 166006 246882 249009 266561 329176 332012 493764 498018 533122 664024 799683 987528 996036 1066244 1599366 1909069 1992072 2132488 3198732 3818138 5727207 6130903 6397464 7636276 11454414 12261806 12367447 15272552 18392709 22908828 24523612 24734894 36785418 37102341 45817656 49047224 49469788 73570836 74204682 98939576 147141672 148409364 148492367 284451281 296818728 296984734 445477101 568902562 593969468 853353843 890954202 1137805124 1187938936 1706707686 1781908404 2275610248 3413415372 3415324441 3563816808 6826830744 6830648882 10245973323 13661297764 20491946646 22125362683 27322595528 40983893292 44250725366 66376088049 81967786584 88501450732 132752176098 177002901464 265504352196 508883341709 531008704392 1017766683418 1526650025127 2035533366836 3053300050254 4071066733672 6106600100508 12213200201016