Search a number
-
+
10301220203033 = 73673725328909
BaseRepresentation
bin1001010111100111000010…
…0100100010101000011001
31100110210020202012000110102
42111321300210202220121
52322233344332444113
633524152031225145
72112144561001124
oct225716044425031
940423222160412
1010301220203033
1133117a5285981
1211a45419781b5
13599529a03256
1427882033d3bb
1512ce597cd758
hex95e70922a19

10301220203033 has 16 divisors (see below), whose sum is σ = 10459652570640. Its totient is φ = 10143261241344.

The previous prime is 10301220203009. The next prime is 10301220203077. The reversal of 10301220203033 is 33030202210301.

It can be written as a sum of positive squares in 8 ways, for example, as 1869148340224 + 8432071862809 = 1367168^2 + 2903803^2 .

It is not a de Polignac number, because 10301220203033 - 218 = 10301219940889 is a prime.

It is a super-2 number, since 2×103012202030332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10301220202996 and 10301220203014.

It is not an unprimeable number, because it can be changed into a prime (10301220203083) 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, 356318183 + ... + 356347091.

It is an arithmetic number, because the mean of its divisors is an integer number (653728285665).

Almost surely, 210301220203033 is an apocalyptic number.

It is an amenable number.

10301220203033 is a deficient number, since it is larger than the sum of its proper divisors (158432367607).

10301220203033 is an equidigital number, since it uses as much as digits as its factorization.

10301220203033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36908.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10301220203033 its reverse (33030202210301), we get a palindrome (43331422413334).

The spelling of 10301220203033 in words is "ten trillion, three hundred one billion, two hundred twenty million, two hundred three thousand, thirty-three".

Divisors: 1 73 673 7253 28909 49129 529469 2110357 4881269 19455757 209676977 356332637 1420270261 15306419321 141112605521 10301220203033