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230133202212300 = 2235247103158461201
BaseRepresentation
bin110100010100111000001111…
…110001001101010111001100
31010011211112000112210022010220
4310110320033301031113030
5220131000244231243200
62133241422242231340
766321401200104222
oct6424701761152714
91104745015708126
10230133202212300
1167366a410a7a82
1221989433955550
139b54610b3741a
1440b871387cb12
151b9145cdb54a0
hexd14e0fc4d5cc

230133202212300 has 144 divisors (see below), whose sum is σ = 686621262093312. Its totient is φ = 59479996032000.

The previous prime is 230133202212247. The next prime is 230133202212301. The reversal of 230133202212300 is 3212202331032.

230133202212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301332022123002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230133202212301) 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, 77778301 + ... + 80682900.

Almost surely, 2230133202212300 is an apocalyptic number.

230133202212300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230133202212300 is an abundant number, since it is smaller than the sum of its proper divisors (456488059881012).

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

230133202212300 is a wasteful number, since it uses less digits than its factorization.

230133202212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158461368 (or 158461361 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230133202212300 its reverse (3212202331032), we get a palindrome (233345404543332).

The spelling of 230133202212300 in words is "two hundred thirty trillion, one hundred thirty-three billion, two hundred two million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 103 141 150 188 206 235 282 300 309 412 470 515 564 618 705 940 1030 1175 1236 1410 1545 2060 2350 2575 2820 3090 3525 4700 4841 5150 6180 7050 7725 9682 10300 14100 14523 15450 19364 24205 29046 30900 48410 58092 72615 96820 121025 145230 242050 290460 363075 484100 726150 1452300 158461201 316922402 475383603 633844804 792306005 950767206 1584612010 1901534412 2376918015 3169224020 3961530025 4753836030 7447676447 7923060050 9507672060 11884590075 14895352894 15846120100 16321503703 22343029341 23769180150 29790705788 32643007406 37238382235 44686058682 47538360300 48964511109 65286014812 74476764470 81607518515 89372117364 97929022218 111715146705 148953528940 163215037030 186191911175 195858044436 223430293410 244822555545 326430074060 372383822350 408037592575 446860586820 489645111090 558575733525 744767644700 767110674041 816075185150 979290222180 1117151467050 1224112777725 1534221348082 1632150370300 2234302934100 2301332022123 2448225555450 3068442696164 3835553370205 4602664044246 4896451110900 7671106740410 9205328088492 11506660110615 15342213480820 19177766851025 23013320221230 38355533702050 46026640442460 57533300553075 76711067404100 115066601106150 230133202212300