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10022031313 = 71431718759
BaseRepresentation
bin10010101010101110…
…00000111111010001
3221212110012221101221
421111113000333101
5131011120000223
64334250525041
7503232601120
oct112527007721
927773187357
1010022031313
1142831a2508
121b38436781
13c39432358
146b1059ab7
153d9cb0b5d
hex2555c0fd1

10022031313 has 4 divisors (see below), whose sum is σ = 11453750080. Its totient is φ = 8590312548.

The previous prime is 10022031287. The next prime is 10022031337. The reversal of 10022031313 is 31313022001.

10022031313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31313022001 = 190716420043.

It is a cyclic number.

It is not a de Polignac number, because 10022031313 - 229 = 9485160401 is a prime.

It is a super-2 number, since 2×100220313132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022031713) 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 3 ways as a sum of consecutive naturals, for example, 715859373 + ... + 715859386.

It is an arithmetic number, because the mean of its divisors is an integer number (2863437520).

Almost surely, 210022031313 is an apocalyptic number.

It is an amenable number.

10022031313 is a deficient number, since it is larger than the sum of its proper divisors (1431718767).

10022031313 is an equidigital number, since it uses as much as digits as its factorization.

10022031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431718766.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10022031313 its reverse (31313022001), we get a palindrome (41335053314).

The spelling of 10022031313 in words is "ten billion, twenty-two million, thirty-one thousand, three hundred thirteen".

Divisors: 1 7 1431718759 10022031313