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2830333100 = 2252731943101
BaseRepresentation
bin1010100010110011…
…0111010010101100
321022020202211002212
42220230313102230
521244031124400
61144503505552
7130065302000
oct25054672254
97266684085
102830333100
111222716171
1266ba582b8
133614baa1a
141cbc7c700
1511872c335
hexa8b374ac

2830333100 has 288 divisors, whose sum is σ = 7791168000. Its totient is φ = 889056000.

The previous prime is 2830333061. The next prime is 2830333109. The reversal of 2830333100 is 13330382.

2830333100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28303331002 = 16021570913911220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2830333109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28023050 + ... + 28023150.

Almost surely, 22830333100 is an apocalyptic number.

2830333100 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 2830333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895584000).

2830333100 is an abundant number, since it is smaller than the sum of its proper divisors (4960834900).

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

2830333100 is a wasteful number, since it uses less digits than its factorization.

2830333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

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

The square root of 2830333100 is about 53200.8749928044. The cubic root of 2830333100 is about 1414.5311535883.

Adding to 2830333100 its reverse (13330382), we get a palindrome (2843663482).

The spelling of 2830333100 in words is "two billion, eight hundred thirty million, three hundred thirty-three thousand, one hundred".