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3330000123104 = 252343163645521
BaseRepresentation
bin110000011101010011011…
…110010111010011100000
3102210100022102201110102202
4300131103132113103200
5414024320012414404
611025440403232332
7462404336010254
oct60352336272340
912710272643382
103330000123104
111074277290546
124594623786a8
131b202ca67935
14b725c4b6264
155b94aa5321e
hex307537974e0

3330000123104 has 96 divisors (see below), whose sum is σ = 7043027169024. Its totient is φ = 1546025564160.

The previous prime is 3330000123059. The next prime is 3330000123143. The reversal of 3330000123104 is 4013210000333.

3330000123104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33300001231042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4835864 + ... + 5481384.

It is an arithmetic number, because the mean of its divisors is an integer number (73364866344).

Almost surely, 23330000123104 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 3330000123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521513584512).

3330000123104 is an abundant number, since it is smaller than the sum of its proper divisors (3713027045920).

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

3330000123104 is a wasteful number, since it uses less digits than its factorization.

3330000123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645760 (or 645752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3330000123104 its reverse (4013210000333), we get a palindrome (7343210123437).

The spelling of 3330000123104 in words is "three trillion, three hundred thirty billion, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 163 172 184 326 344 368 652 688 736 989 1304 1376 1978 2608 3749 3956 5216 7009 7498 7912 14018 14996 15824 28036 29992 31648 56072 59984 112144 119968 161207 224288 322414 644828 645521 1289656 1291042 2579312 2582084 5158624 5164168 10328336 14846983 20656672 27757403 29693966 55514806 59387932 105219923 111029612 118775864 210439846 222059224 237551728 420879692 444118448 475103456 638420269 841759384 888236896 1276840538 1683518768 2420058229 2553681076 3367037536 4524456689 4840116458 5107362152 9048913378 9680232916 10214724304 18097826756 19360465832 20429448608 36195653512 38720931664 72391307024 77441863328 104062503847 144782614048 208125007694 416250015388 832500030776 1665000061552 3330000123104