Search a number
-
+
20030011331010 = 2352389889336677
BaseRepresentation
bin1001000110111100110011…
…01101011101000111000010
32121220211221221002002020220
410203132121231131013002
510111132430400043020
6110333354333043510
74135056232102512
oct443363155350702
977824857062226
1020030011331010
11642275324023a
1222b5b4a326596
13b23a8bb15475
144d3659db5842
1524b05e99c240
hex123799b5d1c2

20030011331010 has 128 divisors (see below), whose sum is σ = 50732821808640. Its totient is φ = 5050992900096.

The previous prime is 20030011331003. The next prime is 20030011331027. The reversal of 20030011331010 is 1013311003002.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 546100792 + ... + 546137468.

It is an arithmetic number, because the mean of its divisors is an integer number (396350170380).

Almost surely, 220030011331010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20030011331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25366410904320).

20030011331010 is an abundant number, since it is smaller than the sum of its proper divisors (30702810477630).

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

20030011331010 is a wasteful number, since it uses less digits than its factorization.

20030011331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45692.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 20030011331010 its reverse (1013311003002), we get a palindrome (21043322334012).

The spelling of 20030011331010 in words is "twenty trillion, thirty billion, eleven million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 890 1335 2047 2670 4094 6141 8893 10235 12282 17786 20470 26679 30705 36677 44465 53358 61410 73354 88930 110031 133395 183385 204539 220062 266790 366770 409078 550155 613617 791477 843571 1022695 1100310 1227234 1582954 1687142 2045390 2374431 2530713 3068085 3264253 3957385 4217855 4748862 5061426 6136170 6528506 7914770 8435710 9792759 11872155 12653565 16321265 18203971 19585518 23744310 25307130 32642530 36407942 48963795 54611913 75077819 91019855 97927590 109223826 150155638 182039710 225233457 273059565 326168561 375389095 450466914 546119130 652337122 750778190 978505683 1126167285 1630842805 1957011366 2252334570 3261685610 4892528415 7501876903 9785056830 15003753806 22505630709 29029001929 37509384515 45011261418 58058003858 75018769030 87087005787 112528153545 145145009645 174174011574 225056307090 290290019290 435435028935 667667044367 870870057870 1335334088734 2003001133101 3338335221835 4006002266202 6676670443670 10015005665505 20030011331010