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1010020002012 = 223274008015881
BaseRepresentation
bin11101011001010011110…
…00100010100011011100
310120120001000211021012200
432230221320202203130
5113022010110031022
62051555145531500
7132654144235620
oct16545170424334
93516030737180
101010020002012
1135a38aa6179a
121438b97a3b90
137432416a308
1436c570d5180
151b416275bac
hexeb29e228dc

1010020002012 has 36 divisors (see below), whose sum is σ = 2917835562096. Its totient is φ = 288577143360.

The previous prime is 1010020001989. The next prime is 1010020002023. The reversal of 1010020002012 is 2102000200101.

1010020002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1010020001985 and 1010020002003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2004007689 + ... + 2004008192.

It is an arithmetic number, because the mean of its divisors is an integer number (81050987836).

Almost surely, 21010020002012 is an apocalyptic number.

1010020002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010020002012 is an abundant number, since it is smaller than the sum of its proper divisors (1907815560084).

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

1010020002012 is a wasteful number, since it uses less digits than its factorization.

1010020002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008015898 (or 4008015893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010020002012 its reverse (2102000200101), we get a palindrome (3112020202113).

The spelling of 1010020002012 in words is "one trillion, ten billion, twenty million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4008015881 8016031762 12024047643 16032063524 24048095286 28056111167 36072142929 48096190572 56112222334 72144285858 84168333501 112224444668 144288571716 168336667002 252505000503 336673334004 505010001006 1010020002012