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230313100000 = 25556533527
BaseRepresentation
bin1101011001111110111…
…0110000001011100000
3211000110220201201022211
43112133232300023200
512233140123200000
6253445425011504
722432242022564
oct3263756601340
9730426651284
10230313100000
1189747816965
1238777483b94
131894551a939
14b20bd4d6a4
155ece7e87ba
hex359fbb02e0

230313100000 has 144 divisors (see below), whose sum is σ = 567778722336. Its totient is φ = 91958080000.

The previous prime is 230313099979. The next prime is 230313100019. The reversal of 230313100000 is 1313032.

230313100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303131000002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65298237 + ... + 65301763.

It is an arithmetic number, because the mean of its divisors is an integer number (3942907794).

Almost surely, 2230313100000 is an apocalyptic number.

230313100000 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 230313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283889361168).

230313100000 is an abundant number, since it is smaller than the sum of its proper divisors (337465622336).

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

230313100000 is an frugal number, since it uses more digits than its factorization.

230313100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 230313100000 its reverse (1313032), we get a palindrome (230314413032).

The spelling of 230313100000 in words is "two hundred thirty billion, three hundred thirteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 653 800 1000 1250 1306 2000 2500 2612 3125 3265 3527 4000 5000 5224 6250 6530 7054 10000 10448 12500 13060 14108 16325 17635 20000 20896 25000 26120 28216 32650 35270 50000 52240 56432 65300 70540 81625 88175 100000 104480 112864 130600 141080 163250 176350 261200 282160 326500 352700 408125 440875 522400 564320 653000 705400 816250 881750 1306000 1410800 1632500 1763500 2040625 2204375 2303131 2612000 2821600 3265000 3527000 4081250 4408750 4606262 6530000 7054000 8162500 8817500 9212524 11021875 11515655 13060000 14108000 16325000 17635000 18425048 22043750 23031310 32650000 35270000 36850096 44087500 46062620 57578275 65300000 70540000 73700192 88175000 92125240 115156550 176350000 184250480 230313100 287891375 352700000 368500960 460626200 575782750 921252400 1151565500 1439456875 1842504800 2303131000 2878913750 4606262000 5757827500 7197284375 9212524000 11515655000 14394568750 23031310000 28789137500 46062620000 57578275000 115156550000 230313100000