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230305012330120 = 23571368839192301
BaseRepresentation
bin110100010111011000010000…
…011100110010111010001000
31010012102221111021211121002221
4310113120100130302322020
5220141304131124030440
62133452355001303424
766336662621026630
oct6427302034627210
91105387437747087
10230305012330120
116742289746a492
12219b67a2794b74
139b67891ab4930
1440c2b71aa36c0
151b95b665b6d4a
hexd17610732e88

230305012330120 has 128 divisors (see below), whose sum is σ = 637860454237440. Its totient is φ = 72877142707200.

The previous prime is 230305012330097. The next prime is 230305012330187. The reversal of 230305012330120 is 21033210503032.

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, 20457970 + ... + 29650270.

It is an arithmetic number, because the mean of its divisors is an integer number (4983284798730).

Almost surely, 2230305012330120 is an apocalyptic number.

230305012330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230305012330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318930227118720).

230305012330120 is an abundant number, since it is smaller than the sum of its proper divisors (407555441907320).

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

230305012330120 is a wasteful number, since it uses less digits than its factorization.

230305012330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9199215 (or 9199211 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 230305012330120 its reverse (21033210503032), we get a palindrome (251338222833152).

The spelling of 230305012330120 in words is "two hundred thirty trillion, three hundred five billion, twelve million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6883 13766 27532 34415 48181 55064 68830 89479 96362 137660 178958 192724 240905 275320 357916 385448 447395 481810 626353 715832 894790 963620 1252706 1789580 1927240 2505412 3131765 3579160 5010824 6263530 9192301 12527060 18384602 25054120 36769204 45961505 64346107 73538408 91923010 119499913 128692214 183846020 238999826 257384428 321730535 367692040 477999652 514768856 597499565 643461070 836499391 955999304 1194999130 1286922140 1672998782 2389998260 2573844280 3345997564 4182496955 4779996520 6691995128 8364993910 16729987820 33459975640 63270607783 126541215566 253082431132 316353038915 442894254481 506164862264 632706077830 822517901179 885788508962 1265412155660 1645035802358 1771577017924 2214471272405 2530824311320 3290071604716 3543154035848 4112589505895 4428942544810 5757625308253 6580143209432 8225179011790 8857885089620 11515250616506 16450358023580 17715770179240 23030501233012 28788126541265 32900716047160 46061002466024 57576253082530 115152506165060 230305012330120