Search a number
-
+
10220202242213 = 172717972783447
BaseRepresentation
bin1001010010111001001110…
…0001100011000010100101
31100012001010110121011201212
42110232103201203002211
52314421433233222323
633423032431201205
72103246065461535
oct224562341430245
940161113534655
1010220202242213
1132903aa7a8867
1211908b1076205
135919b7a13072
142749362dd4c5
1512acb6c81b78
hex94b938630a5

10220202242213 has 16 divisors (see below), whose sum is σ = 10874953603584. Its totient is φ = 9571491429120.

The previous prime is 10220202242171. The next prime is 10220202242347. The reversal of 10220202242213 is 31224220202201.

It is a cyclic number.

It is not a de Polignac number, because 10220202242213 - 238 = 9945324335269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220202202213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2280056 + ... + 5063502.

It is an arithmetic number, because the mean of its divisors is an integer number (679684600224).

Almost surely, 210220202242213 is an apocalyptic number.

It is an amenable number.

10220202242213 is a deficient number, since it is larger than the sum of its proper divisors (654751361371).

10220202242213 is a wasteful number, since it uses less digits than its factorization.

10220202242213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784532.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10220202242213 its reverse (31224220202201), we get a palindrome (41444422444414).

The spelling of 10220202242213 in words is "ten trillion, two hundred twenty billion, two hundred two million, two hundred forty-two thousand, two hundred thirteen".

Divisors: 1 17 271 797 4607 13549 215987 2783447 3671779 47318599 754314137 2218407259 12823340329 37712923403 601188367189 10220202242213