Search a number
-
+
12230011340300 = 22521317952556989
BaseRepresentation
bin1011000111111000010101…
…1110110100011000001100
31121022011210111222211122002
42301332011132310120030
53100334030400342200
642002220055211432
72401406040106325
oct261760536643014
947264714884562
1012230011340300
11399579a625186
121456312076b78
136a9392544790
14303d1581b44c
151631e5eadbd5
hexb1f857b460c

12230011340300 has 72 divisors (see below), whose sum is σ = 28740264411600. Its totient is φ = 4490469054720.

The previous prime is 12230011340299. The next prime is 12230011340303. The reversal of 12230011340300 is 304311003221.

12230011340300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12230011340303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26045795 + ... + 26511194.

It is an arithmetic number, because the mean of its divisors is an integer number (399170339050).

Almost surely, 212230011340300 is an apocalyptic number.

12230011340300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230011340300 is an abundant number, since it is smaller than the sum of its proper divisors (16510253071300).

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

12230011340300 is a wasteful number, since it uses less digits than its factorization.

12230011340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52557195 (or 52557188 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12230011340300 its reverse (304311003221), we get a palindrome (12534322343521).

The spelling of 12230011340300 in words is "twelve trillion, two hundred thirty billion, eleven million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 650 716 895 1300 1790 2327 3580 4475 4654 8950 9308 11635 17900 23270 46540 58175 116350 232700 52556989 105113978 210227956 262784945 525569890 683240857 1051139780 1313924725 1366481714 2627849450 2732963428 3416204285 5255698900 6832408570 9407701031 13664817140 17081021425 18815402062 34162042850 37630804124 47038505155 68324085700 94077010310 122300113403 188154020620 235192525775 244600226806 470385051550 489200453612 611500567015 940770103100 1223001134030 2446002268060 3057502835075 6115005670150 12230011340300