Search a number
-
+
12232300310300 = 22527117122216719
BaseRepresentation
bin1011001000000000110111…
…1010100010111100011100
31121022101201001002120011202
42302000031322202330130
53100403222334412200
642003235143535032
72401516543041260
oct262001572427434
947271631076152
1012232300310300
1139967646a2224
12145685075a478
136a96688272b5
143040918180a0
151632cbe021d5
hexb200dea2f1c

12232300310300 has 144 divisors (see below), whose sum is σ = 30380202209280. Its totient is φ = 4187839968000.

The previous prime is 12232300310257. The next prime is 12232300310303. The reversal of 12232300310300 is 301300323221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232300310303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820550341 + ... + 1820557059.

Almost surely, 212232300310300 is an apocalyptic number.

12232300310300 is a gapful number since it is divisible by the number (10) 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 12232300310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190101104640).

12232300310300 is an abundant number, since it is smaller than the sum of its proper divisors (18147901898980).

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

12232300310300 is a wasteful number, since it uses less digits than its factorization.

12232300310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10125 counting only the distinct ones).

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

Adding to 12232300310300 its reverse (301300323221), we get a palindrome (12533600633521).

The spelling of 12232300310300 in words is "twelve trillion, two hundred thirty-two billion, three hundred million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1171 2221 2342 4442 4684 5855 6719 8197 8884 11105 11710 13438 15547 16394 22210 23420 26876 29275 31094 32788 33595 40985 44420 47033 55525 58550 62188 67190 77735 81970 94066 111050 117100 134380 155470 163940 167975 188132 204925 222100 235165 310940 335950 388675 409850 470330 671900 777350 819700 940660 1175825 1554700 2351650 2600791 4703300 5201582 7867949 10403164 13003955 14922899 15735898 18205537 26007910 29845798 31471796 36411074 39339745 52015820 55075643 59691596 65019775 72822148 74614495 78679490 91027685 104460293 110151286 130039550 149228990 157358980 182055370 196698725 208920586 220302572 260079100 275378215 298457980 364110740 373072475 393397450 417841172 455138425 522301465 550756430 746144950 786794900 910276850 1044602930 1101512860 1376891075 1492289900 1820553700 2089205860 2611507325 2753782150 5223014650 5507564300 10446029300 17474714729 34949429458 69898858916 87373573645 122323003103 174747147290 244646006206 349494294580 436867868225 489292012412 611615015515 873735736450 1223230031030 1747471472900 2446460062060 3058075077575 6116150155150 12232300310300