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1020210120012 = 22385017510001
BaseRepresentation
bin11101101100010010100…
…00110000010101001100
310121112100012022220012110
432312021100300111030
5113203342242320022
62100402243304020
7133464520636506
oct16661120602514
93545305286173
101020210120012
1136373a01a216
1214588237b010
1375289361b35
14375425c6d76
151b810b8a00c
hexed8943054c

1020210120012 has 12 divisors (see below), whose sum is σ = 2380490280056. Its totient is φ = 340070040000.

The previous prime is 1020210120011. The next prime is 1020210120037. The reversal of 1020210120012 is 2100210120201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 85017510001 = 1020210120012 / (1 + 0 + 2 + 0 + 2 + 1 + 0 + 1 + 2 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 1020210120012.

It is not an unprimeable number, because it can be changed into a prime (1020210120011) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 42508754989 + ... + 42508755012.

Almost surely, 21020210120012 is an apocalyptic number.

1020210120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020210120012 is an abundant number, since it is smaller than the sum of its proper divisors (1360280160044).

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

1020210120012 is a wasteful number, since it uses less digits than its factorization.

1020210120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85017510008 (or 85017510006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020210120012 its reverse (2100210120201), we get a palindrome (3120420240213).

The spelling of 1020210120012 in words is "one trillion, twenty billion, two hundred ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 85017510001 170035020002 255052530003 340070040004 510105060006 1020210120012