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2113431300 = 2232522348257
BaseRepresentation
bin111110111111000…
…0110011100000100
312110021210102201100
41331332012130010
513312014300200
6545414100100
7103241604201
oct17576063404
95407712640
102113431300
11994a82242
124ab94a630
13278b11486
14160984ca8
15c581bd00
hex7df86704

2113431300 has 54 divisors (see below), whose sum is σ = 6624435818. Its totient is φ = 563581440.

The previous prime is 2113431277. The next prime is 2113431311. The reversal of 2113431300 is 31343112.

2113431300 is a `hidden beast` number, since 21 + 1 + 343 + 1 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 35712576 + 2077718724 = 5976^2 + 45582^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1173229 + ... + 1175028.

Almost surely, 22113431300 is an apocalyptic number.

2113431300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113431300 is an abundant number, since it is smaller than the sum of its proper divisors (4511004518).

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

2113431300 is a wasteful number, since it uses less digits than its factorization.

2113431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348277 (or 2348267 counting only the distinct ones).

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

The square root of 2113431300 is about 45972.0708691701. The cubic root of 2113431300 is about 1283.3034988660.

Adding to 2113431300 its reverse (31343112), we get a palindrome (2144774412).

The spelling of 2113431300 in words is "two billion, one hundred thirteen million, four hundred thirty-one 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 2348257 4696514 7044771 9393028 11741285 14089542 21134313 23482570 28179084 35223855 42268626 46965140 58706425 70447710 84537252 105671565 117412850 140895420 176119275 211343130 234825700 352238550 422686260 528357825 704477100 1056715650 2113431300