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331130331032334 = 234140917107192383
BaseRepresentation
bin100101101001010010100100…
…1110000010110101100001110
31121102102202021002220012102220
41023102211021300112230032
5321400214404221013314
63132131101332200210
7126514243201340451
oct11322451160265416
91542382232805386
10331130331032334
1196565648355039
123117b339a69066
131129c5c1459032
145baab17665498
1528436d6d013a9
hex12d2949c16b0e

331130331032334 has 64 divisors (see below), whose sum is σ = 680115362734080. Its totient is φ = 107414535098880.

The previous prime is 331130331032243. The next prime is 331130331032357. The reversal of 331130331032334 is 433230133031133.

It is a super-2 number, since 2×3311303310323342 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331130331032295 and 331130331032304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721107507 + ... + 1721299889.

It is an arithmetic number, because the mean of its divisors is an integer number (10626802542720).

Almost surely, 2331130331032334 is an apocalyptic number.

331130331032334 is an abundant number, since it is smaller than the sum of its proper divisors (348985031701746).

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

331130331032334 is a wasteful number, since it uses less digits than its factorization.

331130331032334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209945.

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 331130331032334 its reverse (433230133031133), we get a palindrome (764360464063467).

The spelling of 331130331032334 in words is "three hundred thirty-one trillion, one hundred thirty billion, three hundred thirty-one million, thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 41 82 123 246 409 818 1227 2454 16769 17107 33538 34214 50307 51321 100614 102642 192383 384766 577149 701387 1154298 1402774 2104161 4208322 6996763 7887703 13993526 15775406 20990289 23663109 41980578 47326218 78684647 157369294 236053941 286867283 472107882 573734566 860601849 1721203698 3226070527 3291095981 6452141054 6582191962 9678211581 9873287943 19356423162 19746575886 134934935221 269869870442 404804805663 809609611326 1346058256229 2692116512458 4038174768687 8076349537374 55188388505389 110376777010778 165565165516167 331130331032334