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1312023033321 = 3711131922994953
BaseRepresentation
bin10011000101111010101…
…010101011010111101001
311122102120010210211100120
4103011322222223113221
5132444010344031241
62442422434553453
7163535103526560
oct23057252532751
94572503724316
101312023033321
11466475886070
12192341a38889
1396952c64c40
1447706280bd7
15241de6e5666
hex1317aaab5e9

1312023033321 has 64 divisors (see below), whose sum is σ = 2472417454080. Its totient is φ = 596029155840.

The previous prime is 1312023033317. The next prime is 1312023033323. The reversal of 1312023033321 is 1233303202131.

It is not a de Polignac number, because 1312023033321 - 22 = 1312023033317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312023033291 and 1312023033300.

It is not an unprimeable number, because it can be changed into a prime (1312023033323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11440420 + ... + 11554533.

It is an arithmetic number, because the mean of its divisors is an integer number (38631522720).

Almost surely, 21312023033321 is an apocalyptic number.

1312023033321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312023033321 is a deficient number, since it is larger than the sum of its proper divisors (1160394420759).

1312023033321 is a wasteful number, since it uses less digits than its factorization.

1312023033321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22995006.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1312023033321 its reverse (1233303202131), we get a palindrome (2545326235452).

The spelling of 1312023033321 in words is "one trillion, three hundred twelve billion, twenty-three million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 231 247 273 399 429 627 741 1001 1463 1729 2717 3003 4389 5187 8151 19019 57057 22994953 68984859 160964671 252944483 298934389 436904107 482894013 758833449 896803167 1310712321 1770611381 2092540723 3058328749 3288278279 4805945177 5311834143 5679753391 6277622169 9174986247 9864834837 14417835531 17039260173 23017947953 33641616239 39758273737 62477287301 69053843859 100924848717 119274821211 187431861903 437341011107 1312023033321