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2133100 = 225283257
BaseRepresentation
bin1000001000110001101100
311000101001201
420020301230
51021224400
6113415244
724062644
oct10106154
94011051
102133100
1112276a2
1286a524
13598bb8
143d7524
152c206a
hex208c6c

2133100 has 36 divisors (see below), whose sum is σ = 4702824. Its totient is φ = 839680.

The previous prime is 2133097. The next prime is 2133113. The reversal of 2133100 is 13312.

It is a super-2 number, since 2×21331002 = 9100231220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8172 + ... + 8428.

It is an arithmetic number, because the mean of its divisors is an integer number (130634).

22133100 is an apocalyptic number.

2133100 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 2133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351412).

2133100 is an abundant number, since it is smaller than the sum of its proper divisors (2569724).

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

2133100 is a wasteful number, since it uses less digits than its factorization.

2133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2133100 is about 1460.5136082899. The cubic root of 2133100 is about 128.7272244251.

Adding to 2133100 its reverse (13312), we get a palindrome (2146412).

The spelling of 2133100 in words is "two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 257 332 415 514 830 1028 1285 1660 2075 2570 4150 5140 6425 8300 12850 21331 25700 42662 85324 106655 213310 426620 533275 1066550 2133100