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10222113222031 = 73930591504733
BaseRepresentation
bin1001010011000000010101…
…1011010110110110001111
31100012020001122110000020011
42110300011123112312033
52314434341441101111
633423550214134051
72103344331521344
oct224600533266617
940166048400204
1010222113222031
1132911a0473227
121191145051327
13591c308bc459
14274a780247cb
1512ad7990d021
hex94c056d6d8f

10222113222031 has 8 divisors (see below), whose sum is σ = 10362260406960. Its totient is φ = 10081969232832.

The previous prime is 10222113221989. The next prime is 10222113222049. The reversal of 10222113222031 is 13022231122201.

10222113222031 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 a de Polignac number, because none of the positive numbers 2k-10222113222031 is a prime.

It is a super-2 number, since 2×102221132220312 (a number of 27 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 = 10222113221993 and 10222113222011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222113822031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6040941 + ... + 7545673.

It is an arithmetic number, because the mean of its divisors is an integer number (1295282550870).

Almost surely, 210222113222031 is an apocalyptic number.

10222113222031 is a deficient number, since it is larger than the sum of its proper divisors (140147184929).

10222113222031 is an equidigital number, since it uses as much as digits as its factorization.

10222113222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597865.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10222113222031 its reverse (13022231122201), we get a palindrome (23244344344232).

The spelling of 10222113222031 in words is "ten trillion, two hundred twenty-two billion, one hundred thirteen million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 73 93059 1504733 6793307 109845509 140028948247 10222113222031