Search a number
-
+
321133111130100 = 223523134530442057
BaseRepresentation
bin100100100000100011010000…
…1000000111011011111110100
31120010001000200122220112210110
41021001012201000323133310
5314042421102422130400
63054554303054223020
7124433046601300353
oct11101064100733764
91503030618815713
10321133111130100
1193360873345685
12300258b91b4a70
1310a2595127cc99
145942cd585999a
15271d620eb5e50
hex12411a103b7f4

321133111130100 has 72 divisors (see below), whose sum is σ = 959117558603008. Its totient is φ = 82873060934400.

The previous prime is 321133111129973. The next prime is 321133111130113. The reversal of 321133111130100 is 1031111331123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17265211729 + ... + 17265230328.

Almost surely, 2321133111130100 is an apocalyptic number.

321133111130100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321133111130100 is an abundant number, since it is smaller than the sum of its proper divisors (637984447472908).

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

321133111130100 is a wasteful number, since it uses less digits than its factorization.

321133111130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34530442105 (or 34530442098 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 321133111130100 its reverse (1031111331123), we get a palindrome (322164222461223).

The spelling of 321133111130100 in words is "three hundred twenty-one trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 34530442057 69060884114 103591326171 138121768228 172652210285 207182652342 345304420570 414365304684 517956630855 690608841140 863261051425 1035913261710 1070443703767 1726522102850 2071826523420 2140887407534 2589783154275 3211331111301 3453044205700 4281774815068 5179566308550 5352218518835 6422662222602 10359132617100 10704437037670 12845324445204 16056655556505 21408874075340 26761092594175 32113311113010 53522185188350 64226622226020 80283277782525 107044370376700 160566555565050 321133111130100