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320311320231 = 37229472396689
BaseRepresentation
bin1001010100101000000…
…10101101111010100111
31010121210001021000001210
410222110002231322213
520221444144221411
6403052103122503
732066420204400
oct4522402557247
91117701230053
10320311320231
11113930431871
12520b3743433
1324288b68aa6
14117089069a7
1584ea922ca6
hex4a940adea7

320311320231 has 96 divisors (see below), whose sum is σ = 527150592000. Its totient is φ = 172213966848.

The previous prime is 320311320169. The next prime is 320311320269. The reversal of 320311320231 is 132023113023.

It is not a de Polignac number, because 320311320231 - 29 = 320311319719 is a prime.

It is a super-2 number, since 2×3203113202312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 320311320198 and 320311320207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320311320271) 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 95 ways as a sum of consecutive naturals, for example, 47882935 + ... + 47889623.

It is an arithmetic number, because the mean of its divisors is an integer number (5491152000).

Almost surely, 2320311320231 is an apocalyptic number.

320311320231 is a deficient number, since it is larger than the sum of its proper divisors (206839271769).

320311320231 is a wasteful number, since it uses less digits than its factorization.

320311320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320311320231 its reverse (132023113023), we get a palindrome (452334433254).

The spelling of 320311320231 in words is "three hundred twenty billion, three hundred eleven million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 7 21 29 47 49 87 141 147 203 239 329 609 717 987 1363 1421 1673 2303 4089 4263 5019 6689 6909 6931 9541 11233 11711 20067 20793 28623 33699 35133 46823 48517 66787 78631 140469 145551 193981 200361 235893 314383 325757 327761 339619 550417 581943 943149 977271 983283 1018857 1357867 1598671 1651251 2200681 2280299 4073601 4796013 6602043 6840897 9117107 9505069 11190697 15404767 15962093 27351321 28515207 33572091 46214301 46361459 47886279 63819749 75137537 78334879 139084377 191459247 225412611 235004637 324530213 446738243 525962759 973590639 1340214729 1577888277 2178988573 2271711491 3681739313 6536965719 6815134473 11045217939 15252920011 45758760033 106770440077 320311320231