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34221413002231 = 72131032711924651
BaseRepresentation
bin1111100011111110010110…
…01010100110101111110111
311111011112110010000100211101
413301333023022212233313
513441140423212032411
6200441033342150531
710131262342021300
oct761771312465767
9144145403010741
1034221413002231
11a9a4246542384
123a08409b82447
1316130b08b3470
1486447a5cb7a7
153e529e0368c1
hex1f1fcb2a6bf7

34221413002231 has 48 divisors (see below), whose sum is σ = 43446755509248. Its totient is φ = 26714449944000.

The previous prime is 34221413002219. The next prime is 34221413002289. The reversal of 34221413002231 is 13220031412243.

It is not a de Polignac number, because 34221413002231 - 215 = 34221412969463 is a prime.

It is a super-2 number, since 2×342214130022312 (a number of 28 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 34221413002231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221413002201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16818256 + ... + 18742906.

It is an arithmetic number, because the mean of its divisors is an integer number (905140739776).

Almost surely, 234221413002231 is an apocalyptic number.

34221413002231 is a deficient number, since it is larger than the sum of its proper divisors (9225342507017).

34221413002231 is a wasteful number, since it uses less digits than its factorization.

34221413002231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925052 (or 1925045 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34221413002231 its reverse (13220031412243), we get a palindrome (47441444414474).

The spelling of 34221413002231 in words is "thirty-four trillion, two hundred twenty-one billion, four hundred thirteen million, two thousand, two hundred thirty-one".

Divisors: 1 7 13 49 91 103 271 637 721 1339 1897 3523 5047 9373 13279 24661 27913 65611 172627 195391 362869 1367737 1924651 2540083 13472557 17780581 25020463 94307899 175143241 198239053 521580421 1226002687 1387673371 2577107689 3651062947 6780545473 9713713597 18039753823 25557440629 47463818311 53722783363 126278276761 332246728177 376059483541 698396183719 2632416384787 4888773286033 34221413002231