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22012103001031 = 1113432122368071
BaseRepresentation
bin1010000000101000101111…
…00101001000001111000111
32212221100002022020111211021
411000110113211020033013
510341121241332013111
6114452115344252011
74431215301235153
oct500242745101707
985840068214737
1022012103001031
11701730a320710
122576114911007
13c3896a134380
1456156a29c063
152828ba67cd71
hex1405179483c7

22012103001031 has 48 divisors (see below), whose sum is σ = 26497800387072. Its totient is φ = 18027103348800.

The previous prime is 22012103001019. The next prime is 22012103001071. The reversal of 22012103001031 is 13010030121022.

It is not a de Polignac number, because 22012103001031 - 225 = 22012069446599 is a prime.

It is a super-2 number, since 2×220121030010312 (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 = 22012103000996 and 22012103001014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012103001071) 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 47 ways as a sum of consecutive naturals, for example, 323335726 + ... + 323403796.

It is an arithmetic number, because the mean of its divisors is an integer number (552037508064).

Almost surely, 222012103001031 is an apocalyptic number.

22012103001031 is a deficient number, since it is larger than the sum of its proper divisors (4485697386041).

22012103001031 is a wasteful number, since it uses less digits than its factorization.

22012103001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69404 (or 69361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22012103001031 its reverse (13010030121022), we get a palindrome (35022133122053).

The spelling of 22012103001031 in words is "twenty-two trillion, twelve billion, one hundred three million, one thousand, thirty-one".

Divisors: 1 11 13 43 143 473 559 1223 1849 6149 13453 15899 20339 24037 52589 68071 174889 264407 578479 683657 748781 884923 2261327 2927053 7520227 9734153 24874597 29397251 32197583 38051689 83250833 125863279 323369761 418568579 915759163 1082260829 1384496069 1636222627 3579785819 11904869119 17998448897 39377644009 46537215647 153930790217 511909372117 1693238692387 2001100272821 22012103001031