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22131103224013 = 7219109262183207
BaseRepresentation
bin1010000100000110011001…
…00010111101000011001101
32220100201020122011012002021
411002003030202331003031
510400043444411132023
6115022515524130141
74442630240365600
oct502031442750315
986321218135067
1022131103224013
1170628258a4533
1225951a5836951
13c46c5315bbb4
14567218914337
15285a3299835d
hex1420cc8bd0cd

22131103224013 has 48 divisors (see below), whose sum is σ = 27358690550400. Its totient is φ = 17799241138560.

The previous prime is 22131103223963. The next prime is 22131103224049. The reversal of 22131103224013 is 31042230113122.

It is not a de Polignac number, because 22131103224013 - 229 = 22130566353101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131103224073) 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, 265934856 + ... + 266018062.

It is an arithmetic number, because the mean of its divisors is an integer number (569972719800).

Almost surely, 222131103224013 is an apocalyptic number.

It is an amenable number.

22131103224013 is a deficient number, since it is larger than the sum of its proper divisors (5227587326387).

22131103224013 is a wasteful number, since it uses less digits than its factorization.

22131103224013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85970 (or 85963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 22131103224013 its reverse (31042230113122), we get a palindrome (53173333337135).

The spelling of 22131103224013 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred three million, two hundred twenty-four thousand, thirteen".

Divisors: 1 7 19 49 109 133 763 931 2071 2621 5341 14497 18347 49799 83207 101479 128429 285689 348593 582449 1580933 1999823 2440151 4077143 5428091 9069563 11066531 13998761 37996637 63486941 77465717 172321697 218085547 265976459 444408587 1206251879 1526598829 4143625393 8443763153 10686191803 23771324623 29005377751 166399272361 203037644257 451655167837 1164794906527 3161586174859 22131103224013