Search a number
-
+
12300102303030 = 23251744571803743
BaseRepresentation
bin1011001011111101011100…
…1110100111110100110110
31121112212201021111122220200
42302333113032213310312
53103011102142144110
642054331115541330
72406440000341413
oct262772716476466
947485637448820
1012300102303030
113a124980a5963
121467a1345a846
136b2b8278a319
1430748455110a
15164e4958b6c0
hexb2fd73a7d36

12300102303030 has 96 divisors (see below), whose sum is σ = 33869074247424. Its totient is φ = 3086390151168.

The previous prime is 12300102303029. The next prime is 12300102303059. The reversal of 12300102303030 is 3030320100321.

12300102303030 is a `hidden beast` number, since 1 + 230 + 0 + 102 + 30 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12300102302994 and 12300102303012.

It is a congruent number.

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, 5917339 + ... + 7721081.

It is an arithmetic number, because the mean of its divisors is an integer number (352802856744).

Almost surely, 212300102303030 is an apocalyptic number.

12300102303030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12300102303030 is an abundant number, since it is smaller than the sum of its proper divisors (21568971944394).

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

12300102303030 is a wasteful number, since it uses less digits than its factorization.

12300102303030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808230 (or 1808227 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12300102303030 its reverse (3030320100321), we get a palindrome (15330422403351).

The spelling of 12300102303030 in words is "twelve trillion, three hundred billion, one hundred two million, three hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 4457 8914 13371 22285 26742 40113 44570 66855 75769 80226 133710 151538 200565 227307 378845 401130 454614 681921 757690 1136535 1363842 1803743 2273070 3409605 3607486 5411229 6819210 9018715 10822458 16233687 18037430 27056145 30663631 32467374 54112290 61327262 81168435 91990893 153318155 162336870 183981786 275972679 306636310 459954465 551945358 919908930 1379863395 2759726790 8039282551 16078565102 24117847653 40196412755 48235695306 72353542959 80392825510 120589238265 136667803367 144707085918 241178476530 273335606734 361767714795 410003410101 683339016835 723535429590 820006820202 1230010230303 1366678033670 2050017050505 2460020460606 4100034101010 6150051151515 12300102303030