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230111234100 = 223352117747853
BaseRepresentation
bin1101011001001110110…
…0101100100000110100
3210222221211212212101000
43112103230230200310
512232231433442400
6253413414203300
722424241134346
oct3262354544064
9728854785330
10230111234100
118965387a040
123871b953530
131891275c267
14b1cd203296
155ebbc21600
hex3593b2c834

230111234100 has 144 divisors (see below), whose sum is σ = 807016472640. Its totient is φ = 55784534400.

The previous prime is 230111234083. The next prime is 230111234173. The reversal of 230111234100 is 1432111032.

230111234100 is a `hidden beast` number, since 230 + 1 + 1 + 1 + 23 + 410 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3844227 + ... + 3903626.

It is an arithmetic number, because the mean of its divisors is an integer number (5604281060).

Almost surely, 2230111234100 is an apocalyptic number.

230111234100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230111234100 is an abundant number, since it is smaller than the sum of its proper divisors (576905238540).

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

230111234100 is a wasteful number, since it uses less digits than its factorization.

230111234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747887 (or 7747874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230111234100 its reverse (1432111032), we get a palindrome (231543345132).

The spelling of 230111234100 in words is "two hundred thirty billion, one hundred eleven million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 7747853 15495706 23243559 30991412 38739265 46487118 69730677 77478530 85226383 92974236 116217795 139461354 154957060 170452766 193696325 209192031 232435590 255679149 278922708 340905532 348653385 387392650 418384062 426131915 464871180 511358298 581088975 697306770 767037447 774785300 836768124 852263830 1022716596 1045960155 1162177950 1278395745 1394613540 1534074894 1704527660 1743266925 2091920310 2130659575 2301112341 2324355900 2556791490 3068149788 3486533850 3835187235 4183840620 4261319150 4602224682 5113582980 5229800775 6391978725 6973067700 7670374470 8522638300 9204449364 10459601550 11505561705 12783957450 15340748940 19175936175 20919203100 23011123410 25567914900 38351872350 46022246820 57527808525 76703744700 115055617050 230111234100