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1312220221311 = 31724316015843
BaseRepresentation
bin10011000110000110011…
…010111000111101111111
311122110001212212000102110
4103012012122320331333
5132444411334040221
62442454201225103
7163543016562636
oct23060632707577
94573055760373
101312220221311
1146656711834a
12192397a92193
1396984a7631c
144772453051d
1524201b96776
hex131866b8f7f

1312220221311 has 48 divisors (see below), whose sum is σ = 1866331611648. Its totient is φ = 819936384000.

The previous prime is 1312220221307. The next prime is 1312220221331. The reversal of 1312220221311 is 1131220222131.

It is not a de Polignac number, because 1312220221311 - 22 = 1312220221307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312220221331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224576956 + ... + 224582798.

It is an arithmetic number, because the mean of its divisors is an integer number (38881908576).

Almost surely, 21312220221311 is an apocalyptic number.

1312220221311 is a deficient number, since it is larger than the sum of its proper divisors (554111390337).

1312220221311 is a wasteful number, since it uses less digits than its factorization.

1312220221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1312220221311 its reverse (1131220222131), we get a palindrome (2443440443442).

The spelling of 1312220221311 in words is "one trillion, three hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 17 51 289 431 601 867 1293 1803 5843 7327 10217 17529 21981 30651 99331 124559 173689 259031 297993 373677 521067 777093 1688627 2518333 3511643 4403527 5065881 7554999 10534929 13210581 42811661 59697931 74859959 128434983 179093793 224579877 727798237 1014864827 1513518133 2183394711 3044594481 4540554399 25729808261 77189424783 437406740437 1312220221311