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2113131300 = 2235271006253
BaseRepresentation
bin111110111110011…
…1101001100100100
312110021020012012020
41331330331030210
513311430200200
6545403423140
7103236214440
oct17574751444
95407205166
102113131300
11994897905
124ab824ab0
13278a37a67
14160907820
15c57acea0
hex7df3d324

2113131300 has 72 divisors (see below), whose sum is σ = 6987427776. Its totient is φ = 483000960.

The previous prime is 2113131257. The next prime is 2113131373. The reversal of 2113131300 is 31313112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113131300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501027 + ... + 505226.

It is an arithmetic number, because the mean of its divisors is an integer number (97047608).

Almost surely, 22113131300 is an apocalyptic number.

2113131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113131300 is an abundant number, since it is smaller than the sum of its proper divisors (4874296476).

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

2113131300 is a wasteful number, since it uses less digits than its factorization.

2113131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006277 (or 1006270 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2113131300 is about 45968.8079027508. The cubic root of 2113131300 is about 1283.2427746672.

Adding to 2113131300 its reverse (31313112), we get a palindrome (2144444412).

The spelling of 2113131300 in words is "two billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 1006253 2012506 3018759 4025012 5031265 6037518 7043771 10062530 12075036 14087542 15093795 20125060 21131313 25156325 28175084 30187590 35218855 42262626 50312650 60375180 70437710 75468975 84525252 100625300 105656565 140875420 150937950 176094275 211313130 301875900 352188550 422626260 528282825 704377100 1056565650 2113131300