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1010203200000 = 29325531273
BaseRepresentation
bin11101011001101001100…
…11011000101000000000
310120120111210112200121100
432230310303120220000
5113022344004400000
62052025252254400
7132661530343551
oct16546463305000
93516453480540
101010203200000
1135a474409095
1214394b011400
13743530c09a7
1436c73582328
151b4273b1a00
hexeb34cd8a00

1010203200000 has 1080 divisors, whose sum is σ = 3817088182908. Its totient is φ = 257126400000.

The previous prime is 1010203199933. The next prime is 1010203200037. The reversal of 1010203200000 is 23020101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 100453499136 + 909749700864 = 316944^2 + 953808^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13838399964 + ... + 13838400036.

Almost surely, 21010203200000 is an apocalyptic number.

1010203200000 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 1010203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908544091454).

1010203200000 is an abundant number, since it is smaller than the sum of its proper divisors (2806884982908).

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

1010203200000 is an frugal number, since it uses more digits than its factorization.

1010203200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1010203200000 its reverse (23020101), we get a palindrome (1010226220101).

The spelling of 1010203200000 in words is "one trillion, ten billion, two hundred three million, two hundred thousand".