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230201231300 = 225217373659797
BaseRepresentation
bin1101011001100100010…
…0000000011111000100
3211000012010020012022122
43112121010000133010
512232423003400200
6253430351145112
722426413116015
oct3263104003704
9730163205278
10230201231300
118969a659297
1238745b15198
13189282acb41
14b1db14d00c
155ec4a9c385
hex35991007c4

230201231300 has 72 divisors (see below), whose sum is σ = 543216497544. Its totient is φ = 84321699840.

The previous prime is 230201231251. The next prime is 230201231303. The reversal of 230201231300 is 3132102032.

It can be written as a sum of positive squares in 12 ways, for example, as 2422214656 + 227779016644 = 49216^2 + 477262^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (230201231303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766999 + ... + 1892798.

It is an arithmetic number, because the mean of its divisors is an integer number (7544673577).

Almost surely, 2230201231300 is an apocalyptic number.

230201231300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230201231300 is an abundant number, since it is smaller than the sum of its proper divisors (313015266244).

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

230201231300 is a wasteful number, since it uses less digits than its factorization.

230201231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659865 (or 3659858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230201231300 its reverse (3132102032), we get a palindrome (233333333332).

The spelling of 230201231300 in words is "two hundred thirty billion, two hundred one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 425 629 740 850 925 1258 1700 1850 2516 3145 3700 6290 12580 15725 31450 62900 3659797 7319594 14639188 18298985 36597970 62216549 73195940 91494925 124433098 135412489 182989850 248866196 270824978 311082745 365979700 541649956 622165490 677062445 1244330980 1354124890 1555413725 2302012313 2708249780 3110827450 3385312225 4604024626 6221654900 6770624450 9208049252 11510061565 13541248900 23020123130 46040246260 57550307825 115100615650 230201231300