Search a number
-
+
230321123013300 = 2235211619112753279
BaseRepresentation
bin110100010111100111010000…
…101110001011001010110100
31010012111111002001221002200120
4310113213100232023022310
5220142040124442411200
62133504021353211540
766341103065415504
oct6427472056131264
91105444061832616
10230321123013300
1167429704533190
12219b993a100bb0
139b6925b782167
1440c385d607a04
151b962aab729a0
hexd179d0b8b2b4

230321123013300 has 144 divisors (see below), whose sum is σ = 728151661977600. Its totient is φ = 55745220643200.

The previous prime is 230321123013263. The next prime is 230321123013403. The reversal of 230321123013300 is 3310321123032.

230321123013300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303211230133002 (a number of 30 digits) contains 22 as substring.

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, 54333940 + ... + 58419339.

Almost surely, 2230321123013300 is an apocalyptic number.

230321123013300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230321123013300 is an abundant number, since it is smaller than the sum of its proper divisors (497830538964300).

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

230321123013300 is a wasteful number, since it uses less digits than its factorization.

230321123013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112753926 (or 112753919 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 230321123013300 its reverse (3310321123032), we get a palindrome (233631444136332).

The spelling of 230321123013300 in words is "two hundred thirty trillion, three hundred twenty-one billion, one hundred twenty-three million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 619 660 825 1100 1238 1650 1857 2476 3095 3300 3714 6190 6809 7428 9285 12380 13618 15475 18570 20427 27236 30950 34045 37140 40854 46425 61900 68090 81708 92850 102135 136180 170225 185700 204270 340450 408540 510675 680900 1021350 2042700 112753279 225506558 338259837 451013116 563766395 676519674 1127532790 1240286069 1353039348 1691299185 2255065580 2480572138 2818831975 3382598370 3720858207 4961144276 5637663950 6201430345 6765196740 7441716414 8456495925 11275327900 12402860690 14883432828 16912991850 18604291035 24805721380 31007151725 33825983700 37208582070 62014303450 69794279701 74417164140 93021455175 124028606900 139588559402 186042910350 209382839103 279177118804 348971398505 372085820700 418765678206 697942797010 767737076711 837531356412 1046914195515 1395885594020 1535474153422 1744856992525 2093828391030 2303211230133 3070948306844 3489713985050 3838685383555 4187656782060 4606422460266 5234570977575 6979427970100 7677370767110 9212844920532 10469141955150 11516056150665 15354741534220 19193426917775 20938283910300 23032112301330 38386853835550 46064224602660 57580280753325 76773707671100 115160561506650 230321123013300