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21110000001220 = 2251381192307697
BaseRepresentation
bin1001100110011000011100…
…00011010010000011000100
32202202002121012021222012001
410303030032003102003010
510231331240000014340
6112521444454235044
74306101323244634
oct463141603220304
982662535258161
1021110000001220
1167a9778733a49
12244b314355a84
13ba1883a79ba0
1452da2d8886c4
152691bd6e529a
hex13330e0d20c4

21110000001220 has 24 divisors (see below), whose sum is σ = 47741076926424. Its totient is φ = 7794461538816.

The previous prime is 21110000001191. The next prime is 21110000001263. The reversal of 21110000001220 is 2210000001112.

It can be written as a sum of positive squares in 4 ways, for example, as 3338784090756 + 17771215910464 = 1827234^2 + 4215592^2 .

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 = 21110000001197 and 21110000001206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40596153589 + ... + 40596154108.

It is an arithmetic number, because the mean of its divisors is an integer number (1989211538601).

Almost surely, 221110000001220 is an apocalyptic number.

21110000001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110000001220 is an abundant number, since it is smaller than the sum of its proper divisors (26631076925204).

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

21110000001220 is a wasteful number, since it uses less digits than its factorization.

21110000001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81192307719 (or 81192307717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21110000001220 its reverse (2210000001112), we get a palindrome (23320000002332).

The spelling of 21110000001220 in words is "twenty-one trillion, one hundred ten billion, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 81192307697 162384615394 324769230788 405961538485 811923076970 1055500000061 1623846153940 2111000000122 4222000000244 5277500000305 10555000000610 21110000001220