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320133131322 = 23172792419697
BaseRepresentation
bin1001010100010010110…
…10111110110000111010
31010121022121222001211120
410222021122332300322
520221113040200242
6403022300010110
732062124501244
oct4521132766072
91117277861746
10320133131322
11113849896904
1252063b30936
132425ac7a374
14116ccda1094
1584d9e761ec
hex4a896bec3a

320133131322 has 96 divisors (see below), whose sum is σ = 691683083520. Its totient is φ = 98740961280.

The previous prime is 320133131299. The next prime is 320133131323. The reversal of 320133131322 is 223131331023.

It is a junction number, because it is equal to n+sod(n) for n = 320133131292 and 320133131301.

It is not an unprimeable number, because it can be changed into a prime (320133131323) 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, 33008778 + ... + 33018474.

It is an arithmetic number, because the mean of its divisors is an integer number (7205032120).

Almost surely, 2320133131322 is an apocalyptic number.

320133131322 is an abundant number, since it is smaller than the sum of its proper divisors (371549952198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320133131322 is a wasteful number, since it uses less digits than its factorization.

320133131322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10056 (or 10039 counting only the distinct ones).

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

Adding to 320133131322 its reverse (223131331023), we get a palindrome (543264462345).

The spelling of 320133131322 in words is "three hundred twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 79 102 158 237 241 289 474 482 578 723 867 1343 1446 1734 2686 4029 4097 8058 8194 9697 12291 19039 19394 22831 24582 29091 38078 45662 57117 58182 68493 69649 114234 136986 139298 164849 208947 323663 329698 417894 494547 647326 766063 970989 989094 1532126 1941978 2298189 2336977 2802433 4596378 4673954 5502271 5604866 7010931 8407299 11004542 13023071 14021862 16506813 16814598 26046142 33013626 39069213 39728609 78138426 79457218 119185827 184621183 221392207 238371654 369242366 442784414 553863549 664176621 675386353 1107727098 1328353242 1350772706 2026159059 3138560111 4052318118 6277120222 9415680333 18831360666 53355521887 106711043774 160066565661 320133131322