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311023011321 = 321137443191669
BaseRepresentation
bin1001000011010100110…
…10101000010111111001
31002201210201200000120200
410201222122220113321
520043433342330241
6354514302312413
731320303655521
oct4415232502771
91081721600520
10311023011321
1110a9a4421910
1250340b88709
1323438752209
14110a70c2681
1581552964b6
hex486a6a85f9

311023011321 has 48 divisors (see below), whose sum is σ = 504481573440. Its totient is φ = 182989272960.

The previous prime is 311023011307. The next prime is 311023011331. The reversal of 311023011321 is 123110320113.

311023011321 is a `hidden beast` number, since 3 + 110 + 230 + 1 + 1 + 321 = 666.

It is not a de Polignac number, because 311023011321 - 25 = 311023011289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311023011294 and 311023011303.

It is not an unprimeable number, because it can be changed into a prime (311023011331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1526875 + ... + 1718543.

It is an arithmetic number, because the mean of its divisors is an integer number (10510032780).

Almost surely, 2311023011321 is an apocalyptic number.

It is an amenable number.

311023011321 is a deficient number, since it is larger than the sum of its proper divisors (193458562119).

311023011321 is a wasteful number, since it uses less digits than its factorization.

311023011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192166 (or 192163 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311023011321 its reverse (123110320113), we get a palindrome (434133331434).

The spelling of 311023011321 in words is "three hundred eleven billion, twenty-three million, eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 443 1221 1329 3663 3987 4873 14619 16391 43857 49173 147519 180301 191669 540903 575007 1622709 1725021 2108359 6325077 7091753 18975231 21275259 63825777 78009283 84909367 234027849 254728101 702083547 764184303 934003037 2802009111 3141646579 8406027333 9424939737 28274819211 34558112369 103674337107 311023011321