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10222003031 = 144723892957
BaseRepresentation
bin10011000010100011…
…10110001101010111
3222101101111120000212
421201101312031113
5131413313044111
64410153000035
7511211410052
oct114121661527
928341446025
1010222003031
114376066199
121b933b301b
13c6b9a9806
146cd831a99
153ec61198b
hex261476357

10222003031 has 8 divisors (see below), whose sum is σ = 10236809760. Its totient is φ = 10207209888.

The previous prime is 10222003019. The next prime is 10222003037. The reversal of 10222003031 is 13030022201.

It is a happy number.

10222003031 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 10222003031 - 214 = 10221986647 is a prime.

It is a super-2 number, since 2×102220030312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222002997 and 10222003015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222003037) 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, 3455405 + ... + 3458361.

It is an arithmetic number, because the mean of its divisors is an integer number (1279601220).

Almost surely, 210222003031 is an apocalyptic number.

10222003031 is a deficient number, since it is larger than the sum of its proper divisors (14806729).

10222003031 is a wasteful number, since it uses less digits than its factorization.

10222003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10222003031 its reverse (13030022201), we get a palindrome (23252025232).

The spelling of 10222003031 in words is "ten billion, two hundred twenty-two million, three thousand, thirty-one".

Divisors: 1 1447 2389 2957 3456883 4278779 7064273 10222003031