Search a number
-
+
21012122121220 = 22510966891440961
BaseRepresentation
bin1001100011100010001000…
…00100110011010000000100
32202101201221220210111022101
410301301010010303100010
510223230311230334340
6112404500255441444
74266034655062126
oct461610404632004
982351856714271
1021012122121220
11677121117502a
122434359226284
13b95585b01669
14528dc65d1216
15266890941c9a
hex131c44133404

21012122121220 has 48 divisors (see below), whose sum is σ = 44536965303600. Its totient is φ = 8326489374720.

The previous prime is 21012122121191. The next prime is 21012122121223. The reversal of 21012122121220 is 2212122121012.

It can be written as a sum of positive squares in 8 ways, for example, as 6319803822084 + 14692318299136 = 2513922^2 + 3833056^2 .

It is not an unprimeable number, because it can be changed into a prime (21012122121223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13861540 + ... + 15302500.

It is an arithmetic number, because the mean of its divisors is an integer number (927853443825).

Almost surely, 221012122121220 is an apocalyptic number.

21012122121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012122121220 is an abundant number, since it is smaller than the sum of its proper divisors (23524843182380).

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

21012122121220 is a wasteful number, since it uses less digits than its factorization.

21012122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447768 (or 1447766 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21012122121220 its reverse (2212122121012), we get a palindrome (23224244242232).

The spelling of 21012122121220 in words is "twenty-one trillion, twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 6689 13378 26756 33445 66890 133780 729101 1440961 1458202 2881922 2916404 3645505 5763844 7204805 7291010 14409610 14582020 28819220 157064749 314129498 628258996 785323745 1570647490 3141294980 9638588129 19277176258 38554352516 48192940645 96385881290 192771762580 1050606106061 2101212212122 4202424424244 5253030530305 10506061060610 21012122121220