Search a number
-
+
2126442100 = 225221264421
BaseRepresentation
bin111111010111110…
…1110111001110100
312111012021110011211
41332233232321310
513323332121400
6551001011204
7103460313436
oct17657567164
95435243154
102126442100
119a1359472
124b4183b04
1327b718583
141625b0656
15c6a3bdba
hex7ebeee74

2126442100 has 18 divisors (see below), whose sum is σ = 4614379574. Its totient is φ = 850576800.

The previous prime is 2126442079. The next prime is 2126442121. The reversal of 2126442100 is 12446212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2126442079) and next prime (2126442121).

It can be written as a sum of positive squares in 3 ways, for example, as 716739984 + 1409702116 = 26772^2 + 37546^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10632111 + ... + 10632310.

Almost surely, 22126442100 is an apocalyptic number.

2126442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126442100 is an abundant number, since it is smaller than the sum of its proper divisors (2487937474).

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

2126442100 is a wasteful number, since it uses less digits than its factorization.

2126442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21264435 (or 21264428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2126442100 is about 46113.3614042611. The cubic root of 2126442100 is about 1285.9315566385.

Adding to 2126442100 its reverse (12446212), we get a palindrome (2138888312).

The spelling of 2126442100 in words is "two billion, one hundred twenty-six million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21264421 42528842 85057684 106322105 212644210 425288420 531610525 1063221050 2126442100