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10000131321 = 33599285173
BaseRepresentation
bin10010101000000110…
…11110010011111001
3221210221000022021010
421110003132103321
5130440013200241
64332145304133
7502545466545
oct112403362371
927727008233
1010000131321
1142718a4744
121b31035049
13c34a3518b
146ac198a25
153d7dd6d16
hex2540de4f9

10000131321 has 8 divisors (see below), whose sum is σ = 13370650560. Its totient is φ = 6648183152.

The previous prime is 10000131223. The next prime is 10000131329. The reversal of 10000131321 is 12313100001.

10000131321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000131321 - 29 = 10000130809 is a prime.

It is a super-4 number, since 4×100001313214 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000131297 and 10000131306.

It is not an unprimeable number, because it can be changed into a prime (10000131329) 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 7 ways as a sum of consecutive naturals, for example, 4641510 + ... + 4643663.

It is an arithmetic number, because the mean of its divisors is an integer number (1671331320).

Almost surely, 210000131321 is an apocalyptic number.

It is an amenable number.

10000131321 is a deficient number, since it is larger than the sum of its proper divisors (3370519239).

10000131321 is an equidigital number, since it uses as much as digits as its factorization.

10000131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285535.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10000131321 its reverse (12313100001), we get a palindrome (22313231322).

The spelling of 10000131321 in words is "ten billion, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 359 1077 9285173 27855519 3333377107 10000131321