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2126306300 = 2252237511231
BaseRepresentation
bin111111010111100…
…1101101111111100
312111012000112220012
41332233031233330
513323313300200
6550554042352
7103456206506
oct17657155774
95435015805
102126306300
119a1276438
124b41193b8
1327b69b811
14162576d76
15c6a11a35
hex7ebcdbfc

2126306300 has 72 divisors (see below), whose sum is σ = 4825024512. Its totient is φ = 811800000.

The previous prime is 2126306267. The next prime is 2126306339. The reversal of 2126306300 is 36036212.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 23 ways as a sum of consecutive naturals, for example, 1726685 + ... + 1727915.

Almost surely, 22126306300 is an apocalyptic number.

2126306300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126306300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412512256).

2126306300 is an abundant number, since it is smaller than the sum of its proper divisors (2698718212).

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

2126306300 is a wasteful number, since it uses less digits than its factorization.

2126306300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 2126306300 is about 46111.8889224894. Note that the first 3 decimals coincide. The cubic root of 2126306300 is about 1285.9041817693.

The spelling of 2126306300 in words is "two billion, one hundred twenty-six million, three hundred six thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 751 1150 1231 1502 2300 2462 3004 3755 4924 6155 7510 12310 15020 17273 18775 24620 28313 30775 34546 37550 56626 61550 69092 75100 86365 113252 123100 141565 172730 283130 345460 431825 566260 707825 863650 924481 1415650 1727300 1848962 2831300 3697924 4622405 9244810 18489620 21263063 23112025 42526126 46224050 85052252 92448100 106315315 212630630 425261260 531576575 1063153150 2126306300