Search a number
-
+
21107425784013 = 3319311132299291
BaseRepresentation
bin1001100110010011101001…
…00111011011000011001101
32202201211221210110012001000
410303021310213123003031
510231311002000042023
6112520341220010513
74305650454616332
oct463116447330315
982654853405030
1021107425784013
1167a8677649508
12244a916230a39
13ba156366353a
1452d867a38989
152690bc709243
hex1332749db0cd

21107425784013 has 32 divisors (see below), whose sum is σ = 33021903283200. Its totient is φ = 13288140687600.

The previous prime is 21107425783963. The next prime is 21107425784033. The reversal of 21107425784013 is 31048752470112.

It is a happy number.

21107425784013 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 74 + 2 + 578 + 4 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 21107425784013 - 220 = 21107424735437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21107425784013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21107425784033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65990103 + ... + 66309188.

It is an arithmetic number, because the mean of its divisors is an integer number (1031934477600).

Almost surely, 221107425784013 is an apocalyptic number.

It is an amenable number.

21107425784013 is a deficient number, since it is larger than the sum of its proper divisors (11914477499187).

21107425784013 is a wasteful number, since it uses less digits than its factorization.

21107425784013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132299630 (or 132299624 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 21107425784013 in words is "twenty-one trillion, one hundred seven billion, four hundred twenty-five million, seven hundred eighty-four thousand, thirteen".

Divisors: 1 3 9 19 27 57 171 311 513 933 2799 5909 8397 17727 53181 159543 132299291 396897873 1190693619 2513686529 3572080857 7541059587 22623178761 41145079501 67869536283 123435238503 370305715509 781756510519 1110917146527 2345269531557 7035808594671 21107425784013