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230111401300 = 2252111994672251
BaseRepresentation
bin1101011001001110110…
…1010101010101010100
3210222221212012100201121
43112103231111111110
512232232004320200
6253413421533324
722424242431664
oct3262355252524
9728855170647
10230111401300
1189653983720
123871ba14244
13189127ba3b1
14b1cd2481a4
155ebbc55e1a
hex3593b55554

230111401300 has 144 divisors (see below), whose sum is σ = 548889868800. Its totient is φ = 83041200000.

The previous prime is 230111401279. The next prime is 230111401327. The reversal of 230111401300 is 3104111032.

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, 102225175 + ... + 102227425.

It is an arithmetic number, because the mean of its divisors is an integer number (3811735200).

Almost surely, 2230111401300 is an apocalyptic number.

230111401300 is a gapful number since it is divisible by the number (20) 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 230111401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274444934400).

230111401300 is an abundant number, since it is smaller than the sum of its proper divisors (318778467500).

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

230111401300 is a wasteful number, since it uses less digits than its factorization.

230111401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 230111401300 its reverse (3104111032), we get a palindrome (233215512332).

The spelling of 230111401300 in words is "two hundred thirty billion, one hundred eleven million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 467 550 796 934 995 1100 1868 1990 2189 2251 2335 3980 4378 4502 4670 4975 5137 8756 9004 9340 9950 10274 10945 11255 11675 19900 20548 21890 22510 23350 24761 25685 43780 45020 46700 49522 51370 54725 56275 92933 99044 102740 109450 112550 123805 128425 185866 218900 225100 247610 256850 371732 447949 464665 495220 513700 619025 895898 929330 1022263 1051217 1238050 1791796 1858660 2044526 2102434 2239745 2323325 2476100 4089052 4204868 4479490 4646650 4927439 5111315 5256085 8958980 9293300 9854878 10222630 10512170 11198725 11563387 19709756 20445260 21024340 22397450 23126774 24637195 25556575 26280425 44794900 46253548 49274390 51113150 52560850 57816935 98548780 102226300 105121700 115633870 123185975 209192183 231267740 246371950 289084675 418384366 492743900 578169350 836768732 1045960915 1156338700 2091921830 2301114013 4183843660 4602228026 5229804575 9204456052 10459609150 11505570065 20919218300 23011140130 46022280260 57527850325 115055700650 230111401300