Search a number
-
+
2012112221020 = 2251121171970949
BaseRepresentation
bin11101010001111011001…
…110111111001101011100
321010100121120010102121121
4131101323032333031130
5230431301212033040
64140203535540324
7265241005453546
oct35217316771534
97110546112547
102012112221020
11706371990800
12285b6438a6a4
13117983a2b165
146d55b360696
1537516518c4a
hex1d47b3bf35c

2012112221020 has 72 divisors (see below), whose sum is σ = 4644948924000. Its totient is φ = 731604424320.

The previous prime is 2012112221011. The next prime is 2012112221027. The reversal of 2012112221020 is 201222112102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012112220985 and 2012112221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012112221027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28324506 + ... + 28395454.

It is an arithmetic number, because the mean of its divisors is an integer number (64513179500).

Almost surely, 22012112221020 is an apocalyptic number.

2012112221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012112221020 is an abundant number, since it is smaller than the sum of its proper divisors (2632836702980).

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

2012112221020 is a wasteful number, since it uses less digits than its factorization.

2012112221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82699 (or 82686 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012112221020 its reverse (201222112102), we get a palindrome (2213334333122).

The spelling of 2012112221020 in words is "two trillion, twelve billion, one hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 11719 23438 46876 58595 70949 117190 128909 141898 234380 257818 283796 354745 515636 644545 709490 780439 1289090 1417999 1418980 1560878 2578180 2835998 3121756 3902195 5671996 7089995 7804390 8584829 14179990 15608780 17169658 28359980 34339316 42924145 85848290 171696580 831451331 1662902662 3325805324 4157256655 8314513310 9145964641 16629026620 18291929282 36583858564 45729823205 91459646410 100605611051 182919292820 201211222102 402422444204 503028055255 1006056110510 2012112221020