Search a number
-
+
10010344431030 = 2358310388344203
BaseRepresentation
bin1001000110101011011100…
…0001100001110110110110
31022102222110010002210111120
42101222313001201312312
52303002141133243110
633142404434044410
72052136444510326
oct221526701416666
938388403083446
1010010344431030
11320a3aa50a179
1211580a4119706
13577c822cc128
14268708d0d286
151255d3189870
hex91ab7061db6

10010344431030 has 128 divisors (see below), whose sum is σ = 24578702733312. Its totient is φ = 2608642205568.

The previous prime is 10010344431007. The next prime is 10010344431049. The reversal of 10010344431030 is 3013444301001.

10010344431030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 226440909 + ... + 226485111.

It is an arithmetic number, because the mean of its divisors is an integer number (192021115104).

Almost surely, 210010344431030 is an apocalyptic number.

10010344431030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010344431030 is an abundant number, since it is smaller than the sum of its proper divisors (14568358302282).

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

10010344431030 is a wasteful number, since it uses less digits than its factorization.

10010344431030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45282.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10010344431030 its reverse (3013444301001), we get a palindrome (13023788732031).

The spelling of 10010344431030 in words is "ten trillion, ten billion, three hundred forty-four million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 83 103 166 206 249 309 415 498 515 618 830 883 1030 1245 1545 1766 2490 2649 3090 4415 5298 8549 8830 13245 17098 25647 26490 42745 44203 51294 73289 85490 88406 90949 128235 132609 146578 181898 219867 221015 256470 265218 272847 366445 439734 442030 454745 545694 663045 732890 909490 1099335 1326090 1364235 2198670 2728470 3668849 4552909 7337698 7548767 9105818 11006547 13658727 15097534 18344245 22013094 22646301 22764545 27317454 36688490 37743835 39031249 45292602 45529090 55032735 68293635 75487670 78062498 110065470 113231505 117093747 136587270 195156245 226463010 234187494 377891447 390312490 585468735 755782894 1133674341 1170937470 1889457235 2267348682 3239593667 3778914470 4020218647 5668371705 6479187334 8040437294 9718781001 11336743410 12060655941 16197968335 19437562002 20101093235 24121311882 32395936670 40202186470 48593905005 60303279705 97187810010 120606559410 333678147701 667356295402 1001034443103 1668390738505 2002068886206 3336781477010 5005172215515 10010344431030