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230443004100 = 223523722393097
BaseRepresentation
bin1101011010011101111…
…0010011000011000100
3211000210222011112020210
43112213132103003010
512233421402112400
6253510345155420
722435410134001
oct3264736230304
9730728145223
10230443004100
1189804082821
12387b2a8bb70
131896640187a
14b2212c68a8
155edae08950
hex35a77930c4

230443004100 has 144 divisors (see below), whose sum is σ = 687846752768. Its totient is φ = 59521858560.

The previous prime is 230443004053. The next prime is 230443004147. The reversal of 230443004100 is 1400344032.

230443004100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230443004053) and next prime (230443004147).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428752 + ... + 2521848.

Almost surely, 2230443004100 is an apocalyptic number.

230443004100 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 230443004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343923376384).

230443004100 is an abundant number, since it is smaller than the sum of its proper divisors (457403748668).

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

230443004100 is a wasteful number, since it uses less digits than its factorization.

230443004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93374 (or 93367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 230443004100 its reverse (1400344032), we get a palindrome (231843348132).

The spelling of 230443004100 in words is "two hundred thirty billion, four hundred forty-three million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 223 300 370 444 446 555 669 740 892 925 1110 1115 1338 1850 2220 2230 2676 2775 3345 3700 4460 5550 5575 6690 8251 11100 11150 13380 16502 16725 22300 24753 33004 33450 41255 49506 66900 82510 93097 99012 123765 165020 186194 206275 247530 279291 372388 412550 465485 495060 558582 618825 825100 930970 1117164 1237650 1396455 1861940 2327425 2475300 2792910 3444589 4654850 5585820 6889178 6982275 9309700 10333767 13778356 13964550 17222945 20667534 20760631 27929100 34445890 41335068 41521262 51668835 62281893 68891780 83042524 86114725 103337670 103803155 124563786 172229450 206675340 207606310 249127572 258344175 311409465 344458900 415212620 516688350 519015775 622818930 768143347 1033376700 1038031550 1245637860 1536286694 1557047325 2076063100 2304430041 3072573388 3114094650 3840716735 4608860082 6228189300 7681433470 9217720164 11522150205 15362866940 19203583675 23044300410 38407167350 46088600820 57610751025 76814334700 115221502050 230443004100