Search a number
-
+
1242310423200 = 253527111012659
BaseRepresentation
bin10010000100111111011…
…110001011001010100000
311101202121202020022021120
4102010333132023022200
5130323222432020300
62350413131452240
7155516416236360
oct22047736131240
94352552208246
101242310423200
114399519352a0
121809272b7080
13901c3221792
14441b18b89a0
15224ae4523a0
hex1213f78b2a0

1242310423200 has 864 divisors, whose sum is σ = 5099658600960. Its totient is φ = 255198720000.

The previous prime is 1242310423183. The next prime is 1242310423217. The reversal of 1242310423200 is 23240132421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1242310423183) and next prime (1242310423217).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1885144471 + ... + 1885145129.

It is an arithmetic number, because the mean of its divisors is an integer number (5902382640).

Almost surely, 21242310423200 is an apocalyptic number.

1242310423200 is a gapful number since it is divisible by the number (10) 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 1242310423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549829300480).

1242310423200 is an abundant number, since it is smaller than the sum of its proper divisors (3857348177760).

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

1242310423200 is a wasteful number, since it uses less digits than its factorization.

1242310423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1242310423200 its reverse (23240132421), we get a palindrome (1265550555621).

The spelling of 1242310423200 in words is "one trillion, two hundred forty-two billion, three hundred ten million, four hundred twenty-three thousand, two hundred".