Search a number
-
+
20344501000230 = 23511311205396557
BaseRepresentation
bin1001010000000110100101…
…10000010101100000100110
32200000220201020212120110120
410220003102300111200212
510131311014224001410
6111134045034102410
74166561462142561
oct450032260254046
980026636776416
1020344501000230
116534066486480
122346a9827aa06
13b4762a82ba34
145049716574d8
15254319266570
hex1280d2c15826

20344501000230 has 128 divisors (see below), whose sum is σ = 53463457022976. Its totient is φ = 4913696217600.

The previous prime is 20344501000217. The next prime is 20344501000247. The reversal of 20344501000230 is 3200010544302.

It is a self number, because there is not a number n which added to its sum of digits gives 20344501000230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210651112 + ... + 210747668.

It is an arithmetic number, because the mean of its divisors is an integer number (417683257992).

Almost surely, 220344501000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344501000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26731728511488).

20344501000230 is an abundant number, since it is smaller than the sum of its proper divisors (33118956022746).

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

20344501000230 is a wasteful number, since it uses less digits than its factorization.

20344501000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98942.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 20344501000230 its reverse (3200010544302), we get a palindrome (23544511544532).

The spelling of 20344501000230 in words is "twenty trillion, three hundred forty-four billion, five hundred one million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 311 330 622 933 1555 1866 2053 3110 3421 4106 4665 6159 6842 9330 10263 10265 12318 17105 20526 20530 22583 30795 34210 45166 51315 61590 67749 96557 102630 112915 135498 193114 225830 289671 338745 482785 579342 638483 677490 965570 1062127 1276966 1448355 1915449 2124254 2896710 3186381 3192415 3830898 5310635 6372762 6384830 7023313 9577245 10621270 14046626 15931905 19154490 21069939 30029227 31863810 35116565 42139878 60058454 70233130 90087681 105349695 150146135 180175362 198231521 210699390 300292270 330321497 396463042 450438405 594694563 660642994 900876810 990964491 991157605 1189389126 1651607485 1981928982 1982315210 2180546731 2973472815 3303214970 4361093462 4954822455 5946945630 6541640193 9909644910 10902733655 13083280386 21805467310 32708200965 61650003031 65416401930 123300006062 184950009093 308250015155 369900018186 616500030310 678150033341 924750045465 1356300066682 1849500090930 2034450100023 3390750166705 4068900200046 6781500333410 10172250500115 20344501000230