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2133140300 = 2252731032837
BaseRepresentation
bin111111100100101…
…0010001101001100
312111122212202101022
41333021102031030
513332040442200
6551400333312
7103601251634
oct17711221514
95448782338
102133140300
119a5113975
124b6474238
1327cc222c5
141634356c4
15c7411885
hex7f25234c

2133140300 has 72 divisors (see below), whose sum is σ = 4739550816. Its totient is φ = 833103360.

The previous prime is 2133140291. The next prime is 2133140309. The reversal of 2133140300 is 30413312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2133140291) and next prime (2133140309).

It is not an unprimeable number, because it can be changed into a prime (2133140309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750482 + ... + 753318.

Almost surely, 22133140300 is an apocalyptic number.

2133140300 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 2133140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369775408).

2133140300 is an abundant number, since it is smaller than the sum of its proper divisors (2606410516).

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

2133140300 is a wasteful number, since it uses less digits than its factorization.

2133140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2133140300 is about 46185.9318407673. The cubic root of 2133140300 is about 1287.2803508792.

Adding to 2133140300 its reverse (30413312), we get a palindrome (2163553612).

The spelling of 2133140300 in words is "two billion, one hundred thirty-three million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 103 146 206 292 365 412 515 730 1030 1460 1825 2060 2575 2837 3650 5150 5674 7300 7519 10300 11348 14185 15038 28370 30076 37595 56740 70925 75190 141850 150380 187975 207101 283700 292211 375950 414202 584422 751900 828404 1035505 1168844 1461055 2071010 2922110 4142020 5177525 5844220 7305275 10355050 14610550 20710100 21331403 29221100 42662806 85325612 106657015 213314030 426628060 533285075 1066570150 2133140300