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10221303323 = 7211101359523
BaseRepresentation
bin10011000010011110…
…01011011000011011
3222101100012000012202
421201033023120123
5131413123201243
64410130000415
7511202434100
oct114117133033
928340160182
1010221303323
114375728520
121b9311610b
13c6b7c319a
146cd6ccaa7
153ec5244b8
hex2613cb61b

10221303323 has 48 divisors (see below), whose sum is σ = 13161035520. Its totient is φ = 7848792000.

The previous prime is 10221303271. The next prime is 10221303359. The reversal of 10221303323 is 32330312201.

10221303323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221303323 - 26 = 10221303259 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221303295 and 10221303304.

It is not an unprimeable number, because it can be changed into a prime (10221303383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19543340 + ... + 19543862.

It is an arithmetic number, because the mean of its divisors is an integer number (274188240).

Almost surely, 210221303323 is an apocalyptic number.

10221303323 is a deficient number, since it is larger than the sum of its proper divisors (2939732197).

10221303323 is a wasteful number, since it uses less digits than its factorization.

10221303323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1001 counting only the distinct ones).

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

Adding to 10221303323 its reverse (32330312201), we get a palindrome (42551615524).

The spelling of 10221303323 in words is "ten billion, two hundred twenty-one million, three hundred three thousand, three hundred twenty-three".

Divisors: 1 7 11 49 77 101 359 523 539 707 1111 2513 3661 3949 4949 5753 7777 17591 25627 27643 36259 40271 52823 54439 187757 193501 253813 281897 369761 398849 581053 1314299 1776691 2065327 2588327 2791943 4067371 9200093 14457289 18963457 19543601 28471597 101201023 132744199 208598027 929209393 1460186189 10221303323