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12321001300230 = 2335715714149617
BaseRepresentation
bin1011001101001011010011…
…1001111110000100000110
31121121212122202122201111000
42303102310321332010012
53103331402313101410
642112105001554130
72411106620026410
oct263226471760406
947555582581430
1012321001300230
113a20342031877
12146ba864a5946
136b4b3349a05c
143084a7db19b0
1516576e1d6dc0
hexb34b4e7e106

12321001300230 has 128 divisors (see below), whose sum is σ = 37573629096960. Its totient is φ = 2814435555840.

The previous prime is 12321001300213. The next prime is 12321001300249. The reversal of 12321001300230 is 3200310012321.

12321001300230 is a `hidden beast` number, since 1 + 2 + 32 + 100 + 1 + 300 + 230 = 666.

12321001300230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894382 + ... + 5043998.

It is an arithmetic number, because the mean of its divisors is an integer number (293543977320).

Almost surely, 212321001300230 is an apocalyptic number.

12321001300230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321001300230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786814548480).

12321001300230 is an abundant number, since it is smaller than the sum of its proper divisors (25252627796730).

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

12321001300230 is a wasteful number, since it uses less digits than its factorization.

12321001300230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151211 (or 4151205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12321001300230 its reverse (3200310012321), we get a palindrome (15521311312551).

The spelling of 12321001300230 in words is "twelve trillion, three hundred twenty-one billion, one million, three hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1571 1890 3142 4713 7855 9426 10997 14139 15710 21994 23565 28278 32991 42417 47130 54985 65982 70695 84834 98973 109970 141390 164955 197946 212085 296919 329910 424170 494865 593838 989730 1484595 2969190 4149617 8299234 12448851 20748085 24897702 29047319 37346553 41496170 58094638 62244255 74693106 87141957 112039659 124488510 145236595 174283914 186732765 224079318 261425871 290473190 373465530 435709785 522851742 560198295 784277613 871419570 1120396590 1307129355 1568555226 2614258710 3921388065 6519048307 7842776130 13038096614 19557144921 32595241535 39114289842 45633338149 58671434763 65190483070 91266676298 97785724605 117342869526 136900014447 176014304289 195571449210 228166690745 273800028894 293357173815 352028608578 410700043341 456333381490 586714347630 684500072235 821400086682 880071521445 1232100130023 1369000144470 1760143042890 2053500216705 2464200260046 4107000433410 6160500650115 12321001300230