Search a number
-
+
12300223000010 = 25112925120117639
BaseRepresentation
bin1011001011111101111001…
…1011000010110111001010
31121112220000200121201001012
42302333132123002313022
53103011324042000020
642054351110523522
72406442664264561
oct262773633026712
947486020551035
1012300223000010
113a1254a243330
121467a479665a2
136b2ba179955a
143074965acbd8
15164e54e7d7c5
hexb2fde6c2dca

12300223000010 has 128 divisors (see below), whose sum is σ = 25101338572800. Its totient is φ = 4298666400000.

The previous prime is 12300222999989. The next prime is 12300223000019. The reversal of 12300223000010 is 1000032200321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12300223000019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1610183771 + ... + 1610191409.

It is an arithmetic number, because the mean of its divisors is an integer number (196104207600).

Almost surely, 212300223000010 is an apocalyptic number.

12300223000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12300223000010 is an abundant number, since it is smaller than the sum of its proper divisors (12801115572790).

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

12300223000010 is a wasteful number, since it uses less digits than its factorization.

12300223000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12300223000010 its reverse (1000032200321), we get a palindrome (13300255200331).

The spelling of 12300223000010 in words is "twelve trillion, three hundred billion, two hundred twenty-three million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 29 55 58 110 145 251 290 319 502 638 1255 1595 2011 2510 2761 3190 4022 5522 7279 7639 10055 13805 14558 15278 20110 22121 27610 36395 38195 44242 58319 72790 76390 80069 84029 110605 116638 160138 168058 221210 221531 291595 400345 420145 443062 504761 583190 641509 800690 840290 1009522 1107655 1283018 1917389 2215310 2436841 2523805 3207545 3834778 4873682 5047610 5552371 6415090 9586945 11104742 12184205 14638069 15362029 19173890 21091279 24368410 27761855 29276138 30724058 42182558 55523710 55604281 73190345 76810145 105456395 111208562 146380690 153620290 161018759 168982319 210912790 278021405 322037518 337964638 445498841 556042810 611647091 805093795 844911595 890997682 1223294182 1610187590 1689823190 2227494205 3058235455 3855869279 4454988410 4900487251 6116470910 7711738558 9800974502 19279346395 24502436255 38558692790 42414562069 49004872510 84829124138 111820209091 212072810345 223640418182 424145620690 559101045455 1118202090910 1230022300001 2460044600002 6150111500005 12300223000010