Search a number
-
+
2122031130300 = 2232522357812367
BaseRepresentation
bin11110111000010010111…
…010010110011010111100
321111212022222221120102200
4132320102322112122330
5234231404432132200
64302503031351500
7306211623666114
oct36702272263274
97455288846380
102122031130300
11748a48285194
122a331bb22590
131251504a5393
14749c7876044
153a2eb444800
hex1ee12e966bc

2122031130300 has 54 divisors (see below), whose sum is σ = 6651388690128. Its totient is φ = 565874967840.

The previous prime is 2122031130257. The next prime is 2122031130313. The reversal of 2122031130300 is 30311302212.

2122031130300 is a `hidden beast` number, since 2 + 1 + 2 + 20 + 311 + 30 + 300 = 666.

It is a super-2 number, since 2×21220311303002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1178905284 + ... + 1178907083.

It is an arithmetic number, because the mean of its divisors is an integer number (123173864632).

Almost surely, 22122031130300 is an apocalyptic number.

2122031130300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122031130300 is an abundant number, since it is smaller than the sum of its proper divisors (4529357559828).

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

2122031130300 is a wasteful number, since it uses less digits than its factorization.

2122031130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357812387 (or 2357812377 counting only the distinct ones).

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

Adding to 2122031130300 its reverse (30311302212), we get a palindrome (2152342432512).

The spelling of 2122031130300 in words is "two trillion, one hundred twenty-two billion, thirty-one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2357812367 4715624734 7073437101 9431249468 11789061835 14146874202 21220311303 23578123670 28293748404 35367185505 42440622606 47156247340 58945309175 70734371010 84881245212 106101556515 117890618350 141468742020 176835927525 212203113030 235781236700 353671855050 424406226060 530507782575 707343710100 1061015565150 2122031130300