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1311222321321 = 3111011420727691
BaseRepresentation
bin10011000101001010111…
…100001101000010101001
311122100111100010102222120
4103011022330031002221
5132440340403240241
62442211152541453
7163506211556343
oct23051274150251
94570440112876
101311222321321
114660a48a9310
12192159851889
13968560c2c63
144766bbac293
152419427c666
hex1314af0d0a9

1311222321321 has 32 divisors (see below), whose sum is σ = 1926321094656. Its totient is φ = 786728280000.

The previous prime is 1311222321317. The next prime is 1311222321371. The reversal of 1311222321321 is 1231232221131.

It is not a de Polignac number, because 1311222321321 - 22 = 1311222321317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311222321291 and 1311222321300.

It is not an unprimeable number, because it can be changed into a prime (1311222321371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47338086 + ... + 47365776.

It is an arithmetic number, because the mean of its divisors is an integer number (60197534208).

Almost surely, 21311222321321 is an apocalyptic number.

1311222321321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311222321321 is a deficient number, since it is larger than the sum of its proper divisors (615098773335).

1311222321321 is a wasteful number, since it uses less digits than its factorization.

1311222321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42013.

The product of its digits is 864, while the sum is 24.

Adding to 1311222321321 its reverse (1231232221131), we get a palindrome (2542454542452).

The spelling of 1311222321321 in words is "one trillion, three hundred eleven billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 14207 27691 42621 83073 156277 304601 468831 913803 1434907 2796791 4304721 8390373 15783977 30764701 47351931 92294103 393406037 1180218111 4327466407 12982399221 39734009737 119202029211 437074107107 1311222321321