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230013212333310 = 232573111777430227
BaseRepresentation
bin110100010011001000011111…
…110100001001010011111110
31010011102001022020122220001200
4310103020133310021103332
5220122014024324131220
62133110335550520330
766306622553004150
oct6423103764112376
91104361266586050
10230013212333310
1167320067a25a2a
122196a1275060a6
139b461caa84a23
1440b29ada0cad0
151b8d288c5d890
hexd1321fd094fe

230013212333310 has 96 divisors (see below), whose sum is σ = 705515180378112. Its totient is φ = 50878498576320.

The previous prime is 230013212333263. The next prime is 230013212333323. The reversal of 230013212333310 is 13333212310032.

230013212333310 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 1 + 3 + 2 + 12 + 333 + 310 = 666.

It is a super-2 number, since 2×2300132123333102 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

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, 5888695584 + ... + 5888734643.

It is an arithmetic number, because the mean of its divisors is an integer number (7349116462272).

Almost surely, 2230013212333310 is an apocalyptic number.

230013212333310 is an abundant number, since it is smaller than the sum of its proper divisors (475501968044802).

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

230013212333310 is a wasteful number, since it uses less digits than its factorization.

230013212333310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777430278 (or 11777430275 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 230013212333310 its reverse (13333212310032), we get a palindrome (243346424643342).

The spelling of 230013212333310 in words is "two hundred thirty trillion, thirteen billion, two hundred twelve million, three hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 11777430227 23554860454 35332290681 58887151135 70664581362 82442011589 105996872043 117774302270 164884023178 176661453405 211993744086 247326034767 353322906810 365100337037 412210057945 494652069534 529984360215 730200674074 741978104301 824420115890 1059968720430 1095301011111 1236630173835 1483956208602 1825501685185 2190602022222 2473260347670 2555702359259 3285903033333 3651003370370 3709890521505 5111404718518 5476505055555 6571806066666 7419781043010 7667107077777 10953010111110 12778511796295 15334214155554 16429515166665 23001321233331 25557023592590 32859030333330 38335535388885 46002642466662 76671070777770 115006606166655 230013212333310