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230101301300 = 225213793359
BaseRepresentation
bin1101011001001100011…
…0110011100000110100
3210222221011012020010112
43112103012303200310
512232221413120200
6253412421242152
722424060534633
oct3262306634064
9728834166115
10230101301300
1189649205412
1238718563358
1318910692170
14b1cbb7951a
155ebae0d535
hex35931b3834

230101301300 has 144 divisors (see below), whose sum is σ = 546140044800. Its totient is φ = 83651368320.

The previous prime is 230101301291. The next prime is 230101301347. The reversal of 230101301300 is 3103101032.

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, 640950521 + ... + 640950879.

It is an arithmetic number, because the mean of its divisors is an integer number (3792639200).

Almost surely, 2230101301300 is an apocalyptic number.

230101301300 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 230101301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273070022400).

230101301300 is an abundant number, since it is smaller than the sum of its proper divisors (316038743500).

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

230101301300 is an equidigital number, since it uses as much as digits as its factorization.

230101301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 230101301300 its reverse (3103101032), we get a palindrome (233204402332).

The spelling of 230101301300 in words is "two hundred thirty billion, one hundred one million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 359 395 650 718 790 1027 1300 1436 1580 1795 1975 2054 3590 3950 4108 4667 5135 6241 7180 7900 8975 9334 10270 12482 17950 18668 20540 23335 24964 25675 28361 31205 35900 46670 51350 56722 62410 81133 93340 102700 113444 116675 124820 141805 156025 162266 233350 283610 312050 324532 368693 405665 466700 493039 567220 624100 709025 737386 811330 986078 1418050 1474772 1622660 1843465 1972156 2028325 2240519 2465195 2836100 3686930 4056650 4481038 4930390 6409507 7373860 8113300 8962076 9217325 9860780 11202595 12325975 12819014 18434650 22405190 24651950 25638028 29126747 32047535 36869300 44810380 49303900 56012975 58253494 64095070 112025950 116506988 128190140 145633735 160237675 177001001 224051900 291267470 320475350 354002002 582534940 640950700 708004004 728168675 885005005 1456337350 1770010010 2301013013 2912674700 3540020020 4425025025 4602026026 8850050050 9204052052 11505065065 17700100100 23010130130 46020260260 57525325325 115050650650 230101301300