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1200102020020 = 225531132171717
BaseRepresentation
bin10001011101101011101…
…001111001001110110100
311020201200011200021010201
4101131223221321032310
5124130302104120040
62315152543130244
7152463434600341
oct21355351711664
94221604607121
101200102020020
11422a62338262
121747078a3984
1389227787a97
1442129cc37c8
152133db3da9a
hex1176ba793b4

1200102020020 has 24 divisors (see below), whose sum is σ = 2567765456424. Its totient is φ = 470983433856.

The previous prime is 1200102020017. The next prime is 1200102020023. The reversal of 1200102020020 is 200202010021.

It is an interprime number because it is at equal distance from previous prime (1200102020017) and next prime (1200102020023).

It can be written as a sum of positive squares in 4 ways, for example, as 243015477156 + 957086542864 = 492966^2 + 978308^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1200102019979 and 1200102020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200102020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566084799 + ... + 566086918.

It is an arithmetic number, because the mean of its divisors is an integer number (106990227351).

Almost surely, 21200102020020 is an apocalyptic number.

1200102020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200102020020 is an abundant number, since it is smaller than the sum of its proper divisors (1367663436404).

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

1200102020020 is a wasteful number, since it uses less digits than its factorization.

1200102020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132171779 (or 1132171777 counting only the distinct ones).

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

Adding to 1200102020020 its reverse (200202010021), we get a palindrome (1400304030041).

Subtracting from 1200102020020 its reverse (200202010021), we obtain a palindrome (999900009999).

The spelling of 1200102020020 in words is "one trillion, two hundred billion, one hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1132171717 2264343434 4528686868 5660858585 11321717170 22643434340 60005101001 120010202002 240020404004 300025505005 600051010010 1200102020020