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10312323021 = 32711133730937
BaseRepresentation
bin10011001101010100…
…11000111111001101
3222121200110021202200
421212222120333031
5132104423314041
64423140512113
7513356204460
oct114652307715
928550407680
1010312323021
114412045a10
121bb96ab639
13c846112b0
146db8232d7
154055031b6
hex266a98fcd

10312323021 has 96 divisors (see below), whose sum is σ = 20540851968. Its totient is φ = 4811166720.

The previous prime is 10312322989. The next prime is 10312323053. The reversal of 10312323021 is 12032321301.

10312323021 is a `hidden beast` number, since 10 + 312 + 323 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (10312322989) and next prime (10312323053).

It is not a de Polignac number, because 10312323021 - 25 = 10312322989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312322985 and 10312323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312323221) 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 95 ways as a sum of consecutive naturals, for example, 317865 + ... + 348801.

It is an arithmetic number, because the mean of its divisors is an integer number (213967208).

Almost surely, 210312323021 is an apocalyptic number.

10312323021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10312323021 is a deficient number, since it is larger than the sum of its proper divisors (10228528947).

10312323021 is a wasteful number, since it uses less digits than its factorization.

10312323021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31011 (or 31008 counting only the distinct ones).

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

Adding to 10312323021 its reverse (12032321301), we get a palindrome (22344644322).

It can be divided in two parts, 10312 and 323021, that added together give a palindrome (333333).

The spelling of 10312323021 in words is "ten billion, three hundred twelve million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 30937 37037 47619 92811 111111 216559 278433 333333 340307 402181 649677 1020921 1144669 1206543 1949031 2382149 2815267 3062763 3434007 3619629 4423991 7146447 8012683 8445801 10302021 12591359 13271973 14880697 21439341 24038049 25337403 30967937 37774077 39815919 44642091 72114147 88139513 92903811 104164879 113322231 133926273 163687667 264418539 278711433 312494637 491063001 793255617 937483911 1145813669 1473189003 3437441007 10312323021