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1322014413340 = 22513915123913177
BaseRepresentation
bin10011001111001110001…
…100110001001000011100
311200101100110100112002101
4103033032030301020130
5133124441142211330
62451154112534444
7164340515050435
oct23171614611034
94611313315071
101322014413340
1146a732742825
1219426bb51424
1397885c24a1a
1447db31dc48c
15245c694e4ca
hex133ce33121c

1322014413340 has 96 divisors (see below), whose sum is σ = 2826712627200. Its totient is φ = 519303052800.

The previous prime is 1322014413301. The next prime is 1322014413383. The reversal of 1322014413340 is 433144102231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1322014413299 and 1322014413308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100320832 + ... + 100334008.

It is an arithmetic number, because the mean of its divisors is an integer number (29444923200).

Almost surely, 21322014413340 is an apocalyptic number.

1322014413340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322014413340 is an abundant number, since it is smaller than the sum of its proper divisors (1504698213860).

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

1322014413340 is a wasteful number, since it uses less digits than its factorization.

1322014413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1322014413340 its reverse (433144102231), we get a palindrome (1755158515571).

The spelling of 1322014413340 in words is "one trillion, three hundred twenty-two billion, fourteen million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 139 151 239 278 302 478 556 604 695 755 956 1195 1390 1510 2390 2780 3020 4780 13177 20989 26354 33221 36089 41978 52708 65885 66442 72178 83956 104945 131770 132884 144356 166105 180445 209890 263540 332210 360890 419780 664420 721780 1831603 1989727 3149303 3663206 3979454 5016371 6298606 7326412 7958908 9158015 9948635 10032742 12597212 15746515 18316030 19897270 20065484 25081855 31493030 36632060 39794540 50163710 62986060 100327420 276572053 437753117 475544753 553144106 875506234 951089506 1106288212 1382860265 1751012468 1902179012 2188765585 2377723765 2765720530 4377531170 4755447530 5531441060 8755062340 9510895060 66100720667 132201441334 264402882668 330503603335 661007206670 1322014413340