Search a number
-
+
1311413422221 = 327317129719267
BaseRepresentation
bin10011000101010110010…
…101001100100010001101
311122100222122201101010200
4103011112111030202031
5132441233314002341
62442242140524113
7163514022111000
oct23052625144215
94570878641120
101311413422221
11466192763241
121921b1850639
1396886882806
1447689315537
15241a5e29db6
hex1315654c88d

1311413422221 has 96 divisors (see below), whose sum is σ = 2340923270400. Its totient is φ = 704717604864.

The previous prime is 1311413422183. The next prime is 1311413422237. The reversal of 1311413422221 is 1222243141131.

1311413422221 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 13 + 422 + 221 = 666.

It is not a de Polignac number, because 1311413422221 - 214 = 1311413405837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311413422271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68055630 + ... + 68074896.

It is an arithmetic number, because the mean of its divisors is an integer number (24384617400).

Almost surely, 21311413422221 is an apocalyptic number.

It is an amenable number.

1311413422221 is a deficient number, since it is larger than the sum of its proper divisors (1029509848179).

1311413422221 is a wasteful number, since it uses less digits than its factorization.

1311413422221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20608 (or 20591 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 1311413422221 its reverse (1222243141131), we get a palindrome (2533656563352).

The spelling of 1311413422221 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, four hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 343 357 441 833 1029 1071 1297 2499 3087 3891 5831 7497 9079 11673 17493 19267 22049 27237 52479 57801 63553 66147 81711 134869 154343 173403 190659 198441 327539 404607 444871 463029 571977 944083 982617 1080401 1213821 1334613 1389087 2292773 2832249 2947851 3241203 4003839 6608581 6878319 7562807 8496747 9723609 16049411 19825743 20634957 22688421 24989299 48148233 59477229 68065263 74967897 112345877 144444699 174925093 224903691 337037631 424818083 524775279 1011112893 1224475651 1274454249 1574325837 2973726581 3673426953 3823362747 8571329557 8921179743 11020280859 20816086067 25713988671 26763539229 62448258201 77141966013 145712602469 187344774603 437137807407 1311413422221