Search a number
-
+
1001010221323 = 72197268738593
BaseRepresentation
bin11101001000100001101…
…10111101000100001011
310112200210010022222121121
432210100312331010023
5112400032104040243
62043505135020111
7132214652330500
oct16442066750413
93480703288547
101001010221323
113565871a0152
1214200436a637
1373519674238
14366406954a7
151b08a2b61ed
hexe910dbd10b

1001010221323 has 24 divisors (see below), whose sum is σ = 1170817224192. Its totient is φ = 853313577984.

The previous prime is 1001010221317. The next prime is 1001010221461. The reversal of 1001010221323 is 3231220101001.

It is a de Polignac number, because none of the positive numbers 2k-1001010221323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001010221297 and 1001010221306.

It is not an unprimeable number, because it can be changed into a prime (1001010221923) 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 23 ways as a sum of consecutive naturals, for example, 25918315 + ... + 25956907.

It is an arithmetic number, because the mean of its divisors is an integer number (48784051008).

Almost surely, 21001010221323 is an apocalyptic number.

1001010221323 is a deficient number, since it is larger than the sum of its proper divisors (169807002869).

1001010221323 is a wasteful number, since it uses less digits than its factorization.

1001010221323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41491 (or 41484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001010221323 its reverse (3231220101001), we get a palindrome (4232230322324).

The spelling of 1001010221323 in words is "one trillion, one billion, ten million, two hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 7 49 197 1379 2687 9653 18809 38593 131663 270151 529339 1891057 3705373 7602821 25937611 53219747 103699391 372538229 725895737 5081270159 20428780027 143001460189 1001010221323