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10311320133 = 324127943957
BaseRepresentation
bin10011001101001101…
…00100001001000101
3222121121120100001200
421212212210021011
5132104144221013
64423103213113
7513344526552
oct114646441105
928547510050
1010311320133
114411520484
121bb92a7199
13c8434c97a
146db641a29
154053a5e73
hex2669a4245

10311320133 has 12 divisors (see below), whose sum is σ = 15257401068. Its totient is φ = 6706549440.

The previous prime is 10311320113. The next prime is 10311320189. The reversal of 10311320133 is 33102311301.

It is a happy number.

10311320133 is a `hidden beast` number, since 1 + 0 + 311 + 320 + 1 + 33 = 666.

10311320133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5595339204 + 4715980929 = 74802^2 + 68673^2 .

It is not a de Polignac number, because 10311320133 - 226 = 10244211269 is a prime.

It is a super-2 number, since 2×103113201332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311320113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13971610 + ... + 13972347.

It is an arithmetic number, because the mean of its divisors is an integer number (1271450089).

Almost surely, 210311320133 is an apocalyptic number.

It is an amenable number.

10311320133 is a deficient number, since it is larger than the sum of its proper divisors (4946080935).

10311320133 is a wasteful number, since it uses less digits than its factorization.

10311320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27944004 (or 27944001 counting only the distinct ones).

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

Adding to 10311320133 its reverse (33102311301), we get a palindrome (43413631434).

The spelling of 10311320133 in words is "ten billion, three hundred eleven million, three hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 41 123 369 27943957 83831871 251495613 1145702237 3437106711 10311320133