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10120011337 is a prime number
BaseRepresentation
bin10010110110011001…
…10001111001001001
3222010021120211201201
421123030301321021
5131211210330322
64352110544201
7505532451142
oct113314617111
928107524651
1010120011337
114323534337
121b65208061
13c538195b7
146c0082ac9
153e36b6d27
hex25b331e49

10120011337 has 2 divisors, whose sum is σ = 10120011338. Its totient is φ = 10120011336.

The previous prime is 10120011323. The next prime is 10120011353. The reversal of 10120011337 is 73311002101.

10120011337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5791818816 + 4328192521 = 76104^2 + 65789^2 .

It is an emirp because it is prime and its reverse (73311002101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10120011337 is a prime.

It is a super-2 number, since 2×101200113372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10120011367) 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 as a sum of consecutive naturals, namely, 5060005668 + 5060005669.

It is an arithmetic number, because the mean of its divisors is an integer number (5060005669).

Almost surely, 210120011337 is an apocalyptic number.

It is an amenable number.

10120011337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120011337 is an equidigital number, since it uses as much as digits as its factorization.

10120011337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 10120011337 its reverse (73311002101), we get a palindrome (83431013438).

The spelling of 10120011337 in words is "ten billion, one hundred twenty million, eleven thousand, three hundred thirty-seven".