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13310322131100 = 22352173669255473
BaseRepresentation
bin1100000110110000110100…
…0001011100000010011100
31202010110021020100010221110
43001230031001130002130
53221034014431143400
644150402204502020
72542432122241521
oct301541501340234
952113236303843
1013310322131100
11427196a930955
1215ab767b4a910
137572091506b7
14340319dc1148
15181373134e50
hexc1b0d05c09c

13310322131100 has 72 divisors (see below), whose sum is σ = 38511571195440. Its totient is φ = 3549384903680.

The previous prime is 13310322131053. The next prime is 13310322131189. The reversal of 13310322131100 is 113122301331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51972964 + ... + 52228436.

It is an arithmetic number, because the mean of its divisors is an integer number (534882933270).

Almost surely, 213310322131100 is an apocalyptic number.

13310322131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310322131100 is an abundant number, since it is smaller than the sum of its proper divisors (25201249064340).

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

13310322131100 is a wasteful number, since it uses less digits than its factorization.

13310322131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429159 (or 429152 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13310322131100 its reverse (113122301331), we get a palindrome (13423444432431).

The spelling of 13310322131100 in words is "thirteen trillion, three hundred ten billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 173669 255473 347338 510946 521007 694676 766419 868345 1021892 1042014 1277365 1532838 1736690 2084028 2554730 2605035 3065676 3473380 3832095 4341725 5109460 5210070 6386825 7664190 8683450 10420140 12773650 13025175 15328380 17366900 19160475 25547300 26050350 38320950 52100700 76641900 44367740437 88735480874 133103221311 177470961748 221838702185 266206442622 443677404370 532412885244 665516106555 887354808740 1109193510925 1331032213110 2218387021850 2662064426220 3327580532775 4436774043700 6655161065550 13310322131100