Search a number
-
+
2133113112300 = 2235217418257473
BaseRepresentation
bin11111000010100111011…
…100110000011011101100
321112220221022122120211110
4133002213130300123230
5234422103424043200
64311534424552020
7310053350201412
oct37024734603354
97486838576743
102133113112300
117527148182a5
122a54b3322610
131261c83a5291
14753595a72b2
153a7492c9b50
hex1f0a77306ec

2133113112300 has 72 divisors (see below), whose sum is σ = 6534854773776. Its totient is φ = 535369564160.

The previous prime is 2133113112253. The next prime is 2133113112341. The reversal of 2133113112300 is 32113113312.

It is a happy number.

It is a super-2 number, since 2×21331131123002 (a number of 25 digits) contains 22 as substring.

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, 209123637 + ... + 209133836.

It is an arithmetic number, because the mean of its divisors is an integer number (90761871858).

Almost surely, 22133113112300 is an apocalyptic number.

2133113112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133113112300 is an abundant number, since it is smaller than the sum of its proper divisors (4401741661476).

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

2133113112300 is a wasteful number, since it uses less digits than its factorization.

2133113112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418257507 (or 418257500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2133113112300 its reverse (32113113312), we get a palindrome (2165226225612).

The spelling of 2133113112300 in words is "two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 418257473 836514946 1254772419 1673029892 2091287365 2509544838 4182574730 5019089676 6273862095 7110377041 8365149460 10456436825 12547724190 14220754082 20912873650 21331131123 25095448380 28441508164 31369310475 35551885205 41825747300 42662262246 62738620950 71103770410 85324524492 106655655615 125477241900 142207540820 177759426025 213311311230 355518852050 426622622460 533278278075 711037704100 1066556556150 2133113112300