Search a number
-
+
13200221322030 = 23543709122311801
BaseRepresentation
bin1100000000010110101010…
…0000001011101100101110
31201201221002010020112112010
43000011222200023230232
53212233023124301110
644024033054222050
72531453534636211
oct300055240135456
951657063215463
1013200221322030
11422a200897466
12159235b4b4926
13749a10ab8972
14338c73679778
1517d57c278020
hexc016a80bb2e

13200221322030 has 128 divisors (see below), whose sum is σ = 32492307133440. Its totient is φ = 3430249804800.

The previous prime is 13200221321993. The next prime is 13200221322053. The reversal of 13200221322030 is 3022312200231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13200221321988 and 13200221322006.

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, 1118562130 + ... + 1118573930.

It is an arithmetic number, because the mean of its divisors is an integer number (253846149480).

Almost surely, 213200221322030 is an apocalyptic number.

13200221322030 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 13200221322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246153566720).

13200221322030 is an abundant number, since it is smaller than the sum of its proper divisors (19292085811410).

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

13200221322030 is a wasteful number, since it uses less digits than its factorization.

13200221322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13786.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13200221322030 its reverse (3022312200231), we get a palindrome (16222533522261).

The spelling of 13200221322030 in words is "thirteen trillion, two hundred billion, two hundred twenty-one million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 709 1223 1290 1418 2127 2446 3545 3669 4254 6115 7090 7338 10635 11801 12230 18345 21270 23602 30487 35403 36690 52589 59005 60974 70806 91461 105178 118010 152435 157767 177015 182922 262945 304870 315534 354030 457305 507443 525890 788835 867107 914610 1014886 1522329 1577670 1734214 2537215 2601321 3044658 4335535 5074430 5202642 7611645 8366909 8671070 13006605 14432623 15223290 16733818 25100727 26013210 28865246 37285601 41834545 43297869 50201454 72163115 74571202 83669090 86595738 111856803 125503635 144326230 186428005 216489345 223713606 251007270 359777087 372856010 432978690 559284015 620602789 719554174 1079331261 1118568030 1241205578 1798885435 1861808367 2158662522 3103013945 3597770870 3723616734 5396656305 6206027890 9309041835 10232729707 10793312610 18618083670 20465459414 30698189121 51163648535 61396378242 102327297070 153490945605 306981891210 440007377401 880014754802 1320022132203 2200036887005 2640044264406 4400073774010 6600110661015 13200221322030