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330120202023332 = 227223531447954869
BaseRepresentation
bin100101100001111100001100…
…1010111111111000110100100
31121021212011221110221210202022
41023003320121113333012210
5321232142133204221312
63130035043250002312
7126351253231414100
oct11303703127770644
91537764843853668
10330120202023332
119620621190a826
123103760b876398
1311228280843656
145b73c8dcb6900
1528272b61e7172
hex12c3e195ff1a4

330120202023332 has 144 divisors (see below), whose sum is σ = 714974755703040. Its totient is φ = 132683507244288.

The previous prime is 330120202023301. The next prime is 330120202023371. The reversal of 330120202023332 is 233320202021033.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345245594 + ... + 346200462.

It is an arithmetic number, because the mean of its divisors is an integer number (4965102470160).

Almost surely, 2330120202023332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330120202023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357487377851520).

330120202023332 is an abundant number, since it is smaller than the sum of its proper divisors (384854553679708).

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

330120202023332 is a wasteful number, since it uses less digits than its factorization.

330120202023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956410 (or 956401 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 330120202023332 its reverse (233320202021033), we get a palindrome (563440404044365).

The spelling of 330120202023332 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred two million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 53 92 98 106 161 196 212 322 371 644 742 1127 1219 1447 1484 2254 2438 2597 2894 4508 4876 5194 5788 8533 10129 10388 17066 20258 33281 34132 40516 59731 66562 70903 76691 119462 133124 141806 153382 232967 238924 283612 306764 465934 536837 931868 954869 1073674 1630769 1763893 1909738 2147348 3261538 3527786 3757859 3819476 6523076 6684083 7055572 7515718 12347251 13368166 15031436 21961987 24694502 26736332 43923974 46788581 49389004 50608057 86430757 87847948 93577162 101216114 153733909 172861514 187154324 202432228 307467818 345723028 354256399 614935636 708512798 1076137363 1163985311 1381695443 1417025596 2152274726 2327970622 2479794793 2763390886 4304549452 4655941244 4959589586 5526781772 8147897177 9671868101 9919179172 16295794354 19343736202 31778995189 32591588708 38687472404 57035280239 63557990378 67703076707 73229858479 114070560478 127115980756 135406153414 146459716958 222452966323 228141120956 270812306828 292919433916 444905932646 512609009353 889811865292 1025218018706 1557170764261 1684286745017 2050436037412 3114341528522 3368573490034 3588263065471 6228683057044 6737146980068 7176526130942 11790007215119 14353052261884 23580014430238 47160028860476 82530050505833 165060101011666 330120202023332