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10311320223 = 333164119219
BaseRepresentation
bin10011001101001101…
…00100001010011111
3222121121120100012000
421212212210022133
5132104144221343
64423103213343
7513344530041
oct114646441237
928547510160
1010311320223
114411520556
121bb92a7253
13c8434ca19
146db641a91
154053a5ed3
hex2669a429f

10311320223 has 32 divisors (see below), whose sum is σ = 15794227200. Its totient is φ = 6641740800.

The previous prime is 10311320209. The next prime is 10311320231. The reversal of 10311320223 is 32202311301.

10311320223 is a `hidden beast` number, since 10 + 311 + 320 + 2 + 23 = 666.

10311320223 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10311320223 - 213 = 10311312031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10311320196 and 10311320205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311320203) 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 31 ways as a sum of consecutive naturals, for example, 526908 + ... + 546126.

It is an arithmetic number, because the mean of its divisors is an integer number (493569600).

Almost surely, 210311320223 is an apocalyptic number.

10311320223 is a deficient number, since it is larger than the sum of its proper divisors (5482906977).

10311320223 is a wasteful number, since it uses less digits than its factorization.

10311320223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10311320223 its reverse (32202311301), we get a palindrome (42513631524).

The spelling of 10311320223 in words is "ten billion, three hundred eleven million, three hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 9 27 31 93 279 641 837 1923 5769 17307 19219 19871 57657 59613 172971 178839 518913 536517 595789 1787367 5362101 12319379 16086303 36958137 110874411 332623233 381900749 1145702247 3437106741 10311320223