Search a number
-
+
20300112213300 = 2234522506186693
BaseRepresentation
bin1001001110110011111001…
…11110100011010100110100
32122212200010201112120010000
410213121330332203110310
510130044112211311200
6111101424240231300
74163430463524603
oct447317476432464
978780121476100
1020300112213300
1165172581378a7
12233a36a60b530
13b433a544123a
1450276024da3a
152530bc30d300
hex12767cfa3534

20300112213300 has 90 divisors (see below), whose sum is σ = 65804944024358. Its totient is φ = 5413363254720.

The previous prime is 20300112213287. The next prime is 20300112213307. The reversal of 20300112213300 is 331221100302.

20300112213300 is a `hidden beast` number, since 2 + 0 + 300 + 1 + 12 + 21 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2002626880164 + 18297485333136 = 1415142^2 + 4277556^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300112213307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1253085247 + ... + 1253101446.

Almost surely, 220300112213300 is an apocalyptic number.

20300112213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20300112213300 is an abundant number, since it is smaller than the sum of its proper divisors (45504831811058).

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

20300112213300 is a wasteful number, since it uses less digits than its factorization.

20300112213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506186719 (or 2506186703 counting only the distinct ones).

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

Adding to 20300112213300 its reverse (331221100302), we get a palindrome (20631333313602).

The spelling of 20300112213300 in words is "twenty trillion, three hundred billion, one hundred twelve million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2506186693 5012373386 7518560079 10024746772 12530933465 15037120158 22555680237 25061866930 30074240316 37592800395 45111360474 50123733860 62654667325 67667040711 75185600790 90222720948 112778401185 125309334650 135334081422 150371201580 187964001975 203001122133 225556802370 250618669300 270668162844 338335203555 375928003950 406002244266 451113604740 563892005925 676670407110 751856007900 812004488532 1015005610665 1127784011850 1353340814220 1691676017775 2030011221330 2255568023700 3383352035550 4060022442660 5075028053325 6766704071100 10150056106650 20300112213300