Search a number
-
+
2300202022100 = 2252178951151163
BaseRepresentation
bin100001011110001110101…
…110010111010011010100
322010220020000220122221012
4201132032232113103110
5300141303204201400
64520410452111352
7325120102406213
oct41361656272324
98126200818835
102300202022100
118075680912a4
12311965005558
13138ba61a7788
147d48a77d07a
153ec78294d35
hex2178eb974d4

2300202022100 has 72 divisors (see below), whose sum is σ = 5285677819968. Its totient is φ = 865855936000.

The previous prime is 2300202022081. The next prime is 2300202022163. The reversal of 2300202022100 is 12202020032.

It is a super-3 number, since 3×23002020221003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15141119 + ... + 15292281.

It is an arithmetic number, because the mean of its divisors is an integer number (73412191944).

Almost surely, 22300202022100 is an apocalyptic number.

2300202022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300202022100 is an abundant number, since it is smaller than the sum of its proper divisors (2985475797868).

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

2300202022100 is a wasteful number, since it uses less digits than its factorization.

2300202022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160145 (or 160138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2300202022100 its reverse (12202020032), we get a palindrome (2312404042132).

The spelling of 2300202022100 in words is "two trillion, three hundred billion, two hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 8951 17902 35804 44755 89510 151163 152167 179020 223775 302326 304334 447550 604652 608668 755815 760835 895100 1511630 1521670 2569771 3023260 3043340 3779075 3804175 5139542 7558150 7608350 10279084 12848855 15116300 15216700 25697710 51395420 64244275 128488550 256977100 1353060013 2706120026 5412240052 6765300065 13530600130 23002020221 27061200260 33826500325 46004040442 67653000650 92008080884 115010101105 135306001300 230020202210 460040404420 575050505525 1150101011050 2300202022100