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330121004401320 = 2335111396317911027
BaseRepresentation
bin100101100001111100100100…
…1001100110100001010101000
31121021212021000101202211102120
41023003321021030310022220
5321232200304111320240
63130035255031431240
7126351312143463366
oct11303711114641250
91537767011684376
10330121004401320
1196206593825230
12310377b4525520
131122837ab49a22
145b73d286a0636
15282731188dad0
hex12c3e493342a8

330121004401320 has 128 divisors (see below), whose sum is σ = 1080473450365440. Its totient is φ = 80023598403840.

The previous prime is 330121004401283. The next prime is 330121004401351. The reversal of 330121004401320 is 23104400121033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9475647 + ... + 27386673.

It is an arithmetic number, because the mean of its divisors is an integer number (8441198830980).

Almost surely, 2330121004401320 is an apocalyptic number.

330121004401320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330121004401320 is an abundant number, since it is smaller than the sum of its proper divisors (750352445964120).

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

330121004401320 is a wasteful number, since it uses less digits than its factorization.

330121004401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17925015 (or 17925011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330121004401320 its reverse (23104400121033), we get a palindrome (353225404522353).

The spelling of 330121004401320 in words is "three hundred thirty trillion, one hundred twenty-one billion, four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 13963 27926 41889 55852 69815 83778 111704 139630 153593 167556 209445 279260 307186 335112 418890 460779 558520 614372 767965 837780 921558 1228744 1535930 1675560 1843116 2303895 3071860 3686232 4607790 6143720 9215580 17911027 18431160 35822054 53733081 71644108 89555135 107466162 143288216 179110270 197021297 214932324 268665405 358220540 394042594 429864648 537330810 591063891 716441080 788085188 985106485 1074661620 1182127782 1576170376 1970212970 2149323240 2364255564 2955319455 3940425940 4728511128 5910638910 7880851880 11821277820 23642555640 250091670001 500183340002 750275010003 1000366680004 1250458350005 1500550020006 2000733360008 2500916700010 2751008370011 3001100040012 3751375050015 5001833400020 5502016740022 6002200080024 7502750100030 8253025110033 10003666800040 11004033480044 13755041850055 15005500200060 16506050220066 22008066960088 27510083700110 30011000400120 33012100440132 41265125550165 55020167400220 66024200880264 82530251100330 110040334800440 165060502200660 330121004401320