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1321031233002 = 231322931246747
BaseRepresentation
bin10011001110010011100…
…110001110110111101010
311200021210221022210012210
4103032103212032313222
5133120432443424002
62450512351545550
7164304246131445
oct23162346166752
94607727283183
101321031233002
1146a278767898
1219403682b2b6
139775a326500
1447d1c7cc65c
152456a49196c
hex1339398edea

1321031233002 has 144 divisors (see below), whose sum is σ = 3058199932320. Its totient is φ = 379786942080.

The previous prime is 1321031233001. The next prime is 1321031233007. The reversal of 1321031233002 is 2003321301231.

It is a self number, because there is not a number n which added to its sum of digits gives 1321031233002.

It is not an unprimeable number, because it can be changed into a prime (1321031233001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28235793 + ... + 28282539.

It is an arithmetic number, because the mean of its divisors is an integer number (21237499530).

Almost surely, 21321031233002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321031233002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529099966160).

1321031233002 is an abundant number, since it is smaller than the sum of its proper divisors (1737168699318).

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

1321031233002 is a wasteful number, since it uses less digits than its factorization.

1321031233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46869 (or 46825 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1321031233002 its reverse (2003321301231), we get a palindrome (3324352534233).

The spelling of 1321031233002 in words is "one trillion, three hundred twenty-one billion, thirty-one million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 169 174 186 338 377 403 507 754 806 899 961 1014 1131 1209 1798 1922 2262 2418 2697 2883 4901 5239 5394 5766 9802 10478 11687 12493 14703 15717 23374 24986 27869 29406 31434 35061 37479 46747 55738 70122 74958 83607 93494 140241 151931 162409 167214 280482 303862 324818 362297 455793 487227 607711 724594 911586 974454 1086891 1215422 1355663 1449157 1823133 2173782 2711326 2898314 3646266 4066989 4347471 4709861 7900243 8133978 8694942 9419722 14129583 15800486 17623619 18839041 23700729 28259166 35247238 37678082 42025553 44923867 47401458 52870857 56517123 84051106 89847734 105741714 113034246 126076659 134771601 229107047 244907533 252153318 269543202 458214094 489815066 546332189 584010271 687321141 734722599 1092664378 1168020542 1302792143 1374642282 1469445198 1638996567 1752030813 2605584286 3277993134 3504061626 3908376429 7102318457 7592133523 7816752858 14204636914 15184267046 16936297859 21306955371 22776400569 33872595718 42613910742 45552801138 50808893577 101617787154 220171872167 440343744334 660515616501 1321031233002