Search a number
-
+
1021400200 = 235241124561
BaseRepresentation
bin111100111000010…
…101010010001000
32122011221111200001
4330320111102020
54042434301300
6245204052344
734211521102
oct7470252210
92564844601
101021400200
114846100a7
122460940b4
131337c0a22
149991c572
155ea0c16a
hex3ce15488

1021400200 has 48 divisors (see below), whose sum is σ = 2432695860. Its totient is φ = 398592000.

The previous prime is 1021400189. The next prime is 1021400201. The reversal of 1021400200 is 20041201.

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 1021313764 = 294^2 + 31958^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1021400201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54081 + ... + 70480.

Almost surely, 21021400200 is an apocalyptic number.

1021400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021400200 is an abundant number, since it is smaller than the sum of its proper divisors (1411295660).

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

1021400200 is a wasteful number, since it uses less digits than its factorization.

1021400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124618 (or 124609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1021400200 is about 31959.3523088313. The cubic root of 1021400200 is about 1007.0831110831.

Adding to 1021400200 its reverse (20041201), we get a palindrome (1041441401).

The spelling of 1021400200 in words is "one billion, twenty-one million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 124561 249122 498244 622805 996488 1245610 2491220 3114025 4982440 5107001 6228050 10214002 12456100 20428004 24912200 25535005 40856008 51070010 102140020 127675025 204280040 255350050 510700100 1021400200