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22013423414031 = 379750921231407
BaseRepresentation
bin1010000000101011001100…
…10010000110101100001111
32212221110111022211102221110
411000111212102012230033
510341131442343222111
6114452454353303103
74431263103454560
oct500254622065417
985843438742843
1022013423414031
1170179276a0525
122576422b64a93
13c38b1a86873a
145616537b4167
152829465515a6
hex140566486b0f

22013423414031 has 32 divisors (see below), whose sum is σ = 33956664698880. Its totient is φ = 12424958493696.

The previous prime is 22013423414027. The next prime is 22013423414089. The reversal of 22013423414031 is 13041432431022.

It is not a de Polignac number, because 22013423414031 - 22 = 22013423414027 is a prime.

It is a super-2 number, since 2×220134234140312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22013423414031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013423414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9578871 + ... + 11652536.

It is an arithmetic number, because the mean of its divisors is an integer number (1061145771840).

Almost surely, 222013423414031 is an apocalyptic number.

22013423414031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22013423414031 is a deficient number, since it is larger than the sum of its proper divisors (11943241284849).

22013423414031 is a wasteful number, since it uses less digits than its factorization.

22013423414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21232023.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 22013423414031 its reverse (13041432431022), we get a palindrome (35054855845053).

The spelling of 22013423414031 in words is "twenty-two trillion, thirteen billion, four hundred twenty-three million, four hundred fourteen thousand, thirty-one".

Divisors: 1 3 7 21 97 291 509 679 1527 2037 3563 10689 49373 148119 345611 1036833 21231407 63694221 148619849 445859547 2059446479 6178339437 10806786163 14416125353 32420358489 43248376059 75647503141 226942509423 1048258257811 3144774773433 7337807804677 22013423414031