Search a number
-
+
1012300302000 = 243531335936151
BaseRepresentation
bin11101011101100011100…
…11001100011010110000
310120202220221121111201210
432232301303030122300
5113041142334131000
62053013324400120
7133064513410551
oct16566163143260
93522827544653
101012300302000
11360350147939
121442353a6040
13745c8705750
1436dd1cb6328
151b4eb555350
hexebb1ccc6b0

1012300302000 has 320 divisors, whose sum is σ = 3524594411520. Its totient is φ = 248480640000.

The previous prime is 1012300301917. The next prime is 1012300302011. The reversal of 1012300302000 is 2030032101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27983925 + ... + 28020075.

It is an arithmetic number, because the mean of its divisors is an integer number (11014357536).

Almost surely, 21012300302000 is an apocalyptic number.

1012300302000 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 1012300302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762297205760).

1012300302000 is an abundant number, since it is smaller than the sum of its proper divisors (2512294109520).

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

1012300302000 is a wasteful number, since it uses less digits than its factorization.

1012300302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36549 (or 36533 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1012300302000 its reverse (2030032101), we get a palindrome (1014330334101).

The spelling of 1012300302000 in words is "one trillion, twelve billion, three hundred million, three hundred two thousand".