Search a number
-
+
2100012012020 = 225132621305329
BaseRepresentation
bin11110100011110010011…
…110000101000111110100
321102202111110002110121102
4132203302132011013310
5233401311033341040
64244422053305232
7304502153403026
oct36436236050764
97382443073542
102100012012020
1173a67904077a
1229abb5935218
131230516bb400
14738d935a016
153995d2db515
hex1e8f27851f4

2100012012020 has 36 divisors (see below), whose sum is σ = 4775352766380. Its totient is φ = 775389049344.

The previous prime is 2100012012013. The next prime is 2100012012061. The reversal of 2100012012020 is 202102100012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 456211088356 + 1643800923664 = 675434^2 + 1282108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100012011992 and 2100012012010.

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, 310649285 + ... + 310656044.

It is an arithmetic number, because the mean of its divisors is an integer number (132648687955).

Almost surely, 22100012012020 is an apocalyptic number.

2100012012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100012012020 is an abundant number, since it is smaller than the sum of its proper divisors (2675340754360).

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

2100012012020 is a wasteful number, since it uses less digits than its factorization.

2100012012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621305364 (or 621305349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100012012020 its reverse (202102100012), we get a palindrome (2302114112032).

The spelling of 2100012012020 in words is "two trillion, one hundred billion, twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 621305329 1242610658 2485221316 3106526645 6213053290 8076969277 12426106580 16153938554 32307877108 40384846385 80769692770 105000600601 161539385540 210001201202 420002402404 525003003005 1050006006010 2100012012020