Search a number
-
+
230100010300300 = 225271429647335537
BaseRepresentation
bin110100010100011001010101…
…011000000111001110001100
31010011201100100100100110122211
4310110121111120013032030
5220124424310114102200
62133214252504320204
766316114521362410
oct6424312530071614
91104640310313584
10230100010300300
1167353959135248
1221982b0ba73064
139b514513a5cca
1440b6c85552d40
151b90668e39aba
hexd1465560738c

230100010300300 has 144 divisors (see below), whose sum is σ = 571151650829760. Its totient is φ = 78821827338240.

The previous prime is 230100010300297. The next prime is 230100010300319. The reversal of 230100010300300 is 3003010001032.

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, 6474924132 + ... + 6474959668.

It is an arithmetic number, because the mean of its divisors is an integer number (3966330908540).

Almost surely, 2230100010300300 is an apocalyptic number.

230100010300300 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 230100010300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285575825414880).

230100010300300 is an abundant number, since it is smaller than the sum of its proper divisors (341051640529460).

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

230100010300300 is a wasteful number, since it uses less digits than its factorization.

230100010300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43460 (or 43453 counting only the distinct ones).

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

Adding to 230100010300300 its reverse (3003010001032), we get a palindrome (233103020301332).

The spelling of 230100010300300 in words is "two hundred thirty trillion, one hundred billion, ten million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1429 2858 5716 6473 7145 10003 12946 14290 20006 25892 28580 32365 35537 35725 40012 45311 50015 64730 71074 71450 90622 100030 129460 142148 142900 161825 177685 181244 200060 226555 248759 250075 323650 355370 453110 497518 500150 647300 710740 888425 906220 995036 1000300 1132775 1243795 1776850 2265550 2487590 3553700 4531100 4975180 6218975 9249917 12437950 18499834 24875900 36999668 46249585 50782373 64749419 92499170 101564746 129498838 184998340 203129492 230031001 231247925 253911865 258997676 323747095 355476611 460062002 462495850 507823730 647494190 710953222 920124004 924991700 1015647460 1150155005 1269559325 1294988380 1421906444 1610217007 1618735475 1777383055 2300310010 2539118650 3220434014 3237470950 3554766110 4600620020 5078237300 5750775025 6440868028 6474941900 7109532220 8051085035 8886915275 11501550050 16102170070 17773830550 23003100100 32204340140 35547661100 40255425175 80510850350 161021700700 328714300429 657428600858 1314857201716 1643571502145 2301000103003 3287143004290 4602000206006 6574286008580 8217857510725 9204000412012 11505000515015 16435715021450 23010001030030 32871430042900 46020002060060 57525002575075 115050005150150 230100010300300