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3330000114930 = 2345291091300573
BaseRepresentation
bin110000011101010011011…
…110010101010011110010
3102210100022102201001020000
4300131103132111103302
5414024320012134210
611025440403130430
7462404335644366
oct60352336252362
912710272631200
103330000114930
111074277285395
12459462373a16
131b202ca63cb8
14b725c4b32a6
155b94aa50ac0
hex307537954f2

3330000114930 has 160 divisors (see below), whose sum is σ = 9347745567600. Its totient is φ = 849512821248.

The previous prime is 3330000114929. The next prime is 3330000114937. The reversal of 3330000114930 is 394110000333.

It can be written as a sum of positive squares in 8 ways, for example, as 1012094348841 + 2317905766089 = 1006029^2 + 1522467^2 .

It is a super-2 number, since 2×33300001149302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3330000114894 and 3330000114903.

It is not an unprimeable number, because it can be changed into a prime (3330000114937) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1910124 + ... + 3210696.

Almost surely, 23330000114930 is an apocalyptic number.

3330000114930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330000114930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673872783800).

3330000114930 is an abundant number, since it is smaller than the sum of its proper divisors (6017745452670).

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

3330000114930 is a wasteful number, since it uses less digits than its factorization.

3330000114930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300730 (or 1300721 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 3330000114930 in words is "three trillion, three hundred thirty billion, one hundred fourteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 109 135 145 162 174 218 261 270 290 327 405 435 522 545 654 783 810 870 981 1090 1305 1566 1635 1962 2349 2610 2943 3161 3270 3915 4698 4905 5886 6322 7830 8829 9483 9810 11745 14715 15805 17658 18966 23490 28449 29430 31610 44145 47415 56898 85347 88290 94830 142245 170694 256041 284490 426735 512082 853470 1280205 1300573 2560410 2601146 3901719 6502865 7803438 11705157 13005730 19508595 23410314 35115471 37716617 39017190 58525785 70230942 75433234 105346413 113149851 117051570 141762457 175577355 188583085 210692826 226299702 283524914 339449553 351154710 377166170 425287371 526732065 565749255 678899106 708812285 850574742 1018348659 1053464130 1131498510 1275862113 1417624570 1697247765 2036697318 2126436855 2551724226 3055045977 3394495530 3827586339 4111111253 4252873710 5091743295 6110091954 6379310565 7655172678 8222222506 10183486590 11482759017 12333333759 12758621130 15275229885 19137931695 20555556265 22965518034 24666667518 30550459770 37000001277 38275863390 41111112530 57413795085 61666668795 74000002554 111000003831 114827590170 123333337590 185000006385 222000007662 333000011493 370000012770 555000019155 666000022986 1110000038310 1665000057465 3330000114930