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1012255200 = 2532521112781
BaseRepresentation
bin111100010101011…
…100100111100000
32121112201220002100
4330111130213200
54033114131300
6244240050400
734041012225
oct7425344740
92545656070
101012255200
1147a434350
12243003a00
1313193b398
149861b94c
155dd02700
hex3c55c9e0

1012255200 has 216 divisors, whose sum is σ = 3894266376. Its totient is φ = 245376000.

The previous prime is 1012255199. The next prime is 1012255201. The reversal of 1012255200 is 25522101.

1012255200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012255199) and next prime (1012255201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012255201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72810 + ... + 85590.

It is an arithmetic number, because the mean of its divisors is an integer number (18029011).

Almost surely, 21012255200 is an apocalyptic number.

1012255200 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 1012255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947133188).

1012255200 is an abundant number, since it is smaller than the sum of its proper divisors (2882011176).

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

1012255200 is a wasteful number, since it uses less digits than its factorization.

1012255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1012255200 is about 31815.9582599676. The cubic root of 1012255200 is about 1004.0684915947.

Adding to 1012255200 its reverse (25522101), we get a palindrome (1037777301).

The spelling of 1012255200 in words is "one billion, twelve million, two hundred fifty-five thousand, two hundred".