Search a number
-
+
1321332422982 = 23111317611485067
BaseRepresentation
bin10011001110100101100…
…011001011100101000110
311200022120221001211012020
4103032211203023211012
5133122042100013412
62451002311304010
7164314564165365
oct23164543134506
94608527054166
101321332422982
1146a412784330
121940bb67b006
13977a784cb30
1447d4a7d17dc
1524586b3818c
hex133a58cb946

1321332422982 has 128 divisors (see below), whose sum is σ = 3341189150208. Its totient is φ = 342159206400.

The previous prime is 1321332422953. The next prime is 1321332422983. The reversal of 1321332422982 is 2892242331231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321332422983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147213 + ... + 1632279.

It is an arithmetic number, because the mean of its divisors is an integer number (26103040236).

Almost surely, 21321332422982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321332422982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670594575104).

1321332422982 is an abundant number, since it is smaller than the sum of its proper divisors (2019856727226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321332422982 is a wasteful number, since it uses less digits than its factorization.

1321332422982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485174.

The product of its digits is 248832, while the sum is 42.

The spelling of 1321332422982 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-two million, four hundred twenty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 61 66 78 102 122 143 183 187 221 286 366 374 429 442 561 663 671 793 858 1037 1122 1326 1342 1586 2013 2074 2379 2431 3111 4026 4758 4862 6222 7293 8723 11407 13481 14586 17446 22814 26169 26962 34221 40443 52338 68442 80886 148291 296582 444873 889746 1485067 2970134 4455201 8910402 16335737 19305871 25246139 32671474 38611742 49007211 50492278 57917613 75738417 90589087 98014422 115835226 151476834 181178174 212364581 271767261 277707529 328199807 424729162 543534522 555415058 637093743 656399614 833122587 984599421 996479957 1177658131 1274187486 1540014479 1666245174 1969198842 1992959914 2355316262 2989439871 3080028958 3532974393 3610197877 4620043437 5978879742 7065948786 7220395754 9240086874 10830593631 12954239441 16940159269 20020188227 21661187262 25908478882 33880318538 38862718323 40040376454 50820477807 60060564681 77725436646 101640955614 120121129362 220222070497 440444140994 660666211491 1321332422982