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10320313311 = 327311313971
BaseRepresentation
bin10011001110010001…
…10111101111011111
3222122020111020101100
421213020313233133
5132114000011221
64424024044143
7513514134000
oct114710675737
928566436340
1010320313311
114416603160
122000303653
13c8617b189
146dc9031a7
15406080926
hex267237bdf

10320313311 has 96 divisors (see below), whose sum is σ = 19044979200. Its totient is φ = 5338569600.

The previous prime is 10320313303. The next prime is 10320313321. The reversal of 10320313311 is 11331302301.

It is a happy number.

10320313311 is a `hidden beast` number, since 1 + 0 + 320 + 31 + 3 + 311 = 666.

10320313311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10320313311 - 23 = 10320313303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320313321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10628056 + ... + 10629026.

It is an arithmetic number, because the mean of its divisors is an integer number (198385200).

Almost surely, 210320313311 is an apocalyptic number.

10320313311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10320313311 is a deficient number, since it is larger than the sum of its proper divisors (8724665889).

10320313311 is a wasteful number, since it uses less digits than its factorization.

10320313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10320313311 its reverse (11331302301), we get a palindrome (21651615612).

The spelling of 10320313311 in words is "ten billion, three hundred twenty million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 313 343 441 539 693 939 971 1029 1617 2191 2817 2913 3087 3443 3773 4851 6573 6797 8739 10329 10681 11319 15337 19719 20391 24101 30987 32043 33957 46011 47579 61173 72303 74767 96129 107359 138033 142737 168707 216909 224301 303923 322077 333053 428211 506121 523369 672903 911769 966231 999159 1180949 1518363 1570107 2127461 2735307 2997477 3343153 3542847 3663583 4710321 6382383 10029459 10628541 10990749 14892227 19147149 23402071 30088377 32972247 44676681 70206213 104245589 134030043 163814497 210618639 312736767 491443491 938210301 1146701479 1474330473 3440104437 10320313311