Search a number
-
+
21200002121200 = 245277571429329
BaseRepresentation
bin1001101001000000000101…
…00110000111110111110000
32210001200220121011101101011
410310200002212013313300
510234320101020334300
6113031051352120304
74315435546531120
oct464400246076760
983050817141334
1021200002121200
116833963572891
122464851996094
13baa1c8162096
1453412ab78c80
1526b6d9d3eeba
hex134802987df0

21200002121200 has 60 divisors (see below), whose sum is σ = 58209148689040. Its totient is φ = 7268572154880.

The previous prime is 21200002121173. The next prime is 21200002121227. The reversal of 21200002121200 is 212120000212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21200002121173) and next prime (21200002121227).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3785711865 + ... + 3785717464.

Almost surely, 221200002121200 is an apocalyptic number.

21200002121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200002121200 is an abundant number, since it is smaller than the sum of its proper divisors (37009146567840).

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

21200002121200 is a wasteful number, since it uses less digits than its factorization.

21200002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571429354 (or 7571429343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21200002121200 its reverse (212120000212), we get a palindrome (21412122121412).

The spelling of 21200002121200 in words is "twenty-one trillion, two hundred billion, two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 7571429329 15142858658 30285717316 37857146645 53000005303 60571434632 75714293290 106000010606 121142869264 151428586580 189285733225 212000021212 265000026515 302857173160 378571466450 424000042424 530000053030 605714346320 757142932900 848000084848 1060000106060 1325000132575 1514285865800 2120000212120 2650000265150 3028571731600 4240000424240 5300000530300 10600001060600 21200002121200