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2012021000020 = 225619411752601
BaseRepresentation
bin11101010001110101110…
…011000000011101010100
321010100101012110220221001
4131101311303000131110
5230431104334000040
64140150520433044
7265235520214243
oct35216563003524
97110335426831
102012021000020
11706325446049
12285b39918784
1311796ab6c535
146d54d1b695a
153750d4ea59a
hex1d475cc0754

2012021000020 has 48 divisors (see below), whose sum is σ = 4299076622736. Its totient is φ = 790773120000.

The previous prime is 2012020999991. The next prime is 2012021000047. The reversal of 2012021000020 is 200001202102.

It can be written as a sum of positive squares in 8 ways, for example, as 31945104 + 2011989054916 = 5652^2 + 1418446^2 .

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 = 2012020999970 and 2012021000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271720 + ... + 2024320.

It is an arithmetic number, because the mean of its divisors is an integer number (89564096307).

Almost surely, 22012021000020 is an apocalyptic number.

2012021000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012021000020 is an abundant number, since it is smaller than the sum of its proper divisors (2287055622716).

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

2012021000020 is a wasteful number, since it uses less digits than its factorization.

2012021000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753612 (or 1753610 counting only the distinct ones).

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

Adding to 2012021000020 its reverse (200001202102), we get a palindrome (2212022202122).

The spelling of 2012021000020 in words is "two trillion, twelve billion, twenty-one million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 61 122 244 305 610 941 1220 1882 3764 4705 9410 18820 57401 114802 229604 287005 574010 1148020 1752601 3505202 7010404 8763005 17526010 35052020 106908661 213817322 427634644 534543305 1069086610 1649197541 2138173220 3298395082 6596790164 8245987705 16491975410 32983950820 100601050001 201202100002 402404200004 503005250005 1006010500010 2012021000020