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230331220113000 = 23353153281500891
BaseRepresentation
bin110100010111110000101010…
…100011100011011001101000
31010012112110010202101220120010
4310113300222203203121220
5220142221314322104000
62133512411325131520
766341611232353116
oct6427605243433150
91105473122356503
10230331220113000
1167432a16038686
12219bb8976b9ba0
139b6a1aa608c76
1440c413a604ab6
151b9669c310d50
hexd17c2a8e3668

230331220113000 has 128 divisors (see below), whose sum is σ = 718639529811840. Its totient is φ = 61421135360000.

The previous prime is 230331220112993. The next prime is 230331220113011. The reversal of 230331220113000 is 311022133032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459592555 + ... + 460093445.

It is an arithmetic number, because the mean of its divisors is an integer number (5614371326655).

Almost surely, 2230331220113000 is an apocalyptic number.

230331220113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230331220113000 is an abundant number, since it is smaller than the sum of its proper divisors (488308309698840).

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

230331220113000 is a wasteful number, since it uses less digits than its factorization.

230331220113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654196 (or 654182 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230331220113000 its reverse (311022133032), we get a palindrome (230642242246032).

The spelling of 230331220113000 in words is "two hundred thirty trillion, three hundred thirty-one billion, two hundred twenty million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 153281 306562 459843 500891 613124 766405 919686 1001782 1226248 1502673 1532810 1839372 2003564 2299215 2504455 3005346 3065620 3678744 3832025 4007128 4598430 5008910 6010692 6131240 7513365 7664050 9196860 10017820 11496075 12021384 12522275 15026730 15328100 18393720 19160125 20035640 22992150 25044550 30053460 30656200 37566825 38320250 45984300 50089100 57480375 60106920 62611375 75133650 76640500 91968600 100178200 114960750 125222750 150267300 153281000 187834125 229921500 250445500 300534600 375668250 459843000 500891000 751336500 1502673000 76777073371 153554146742 230331220113 307108293484 383885366855 460662440226 614216586968 767770733710 921324880452 1151656100565 1535541467420 1842649760904 1919426834275 2303312201130 3071082934840 3838853668550 4606624402260 5758280502825 7677707337100 9213248804520 9597134171375 11516561005650 15355414674200 19194268342750 23033122011300 28791402514125 38388536685500 46066244022600 57582805028250 76777073371000 115165610056500 230331220113000