Search a number
-
+
20213231311320 = 2335319295848939
BaseRepresentation
bin1001001100010010000100…
…11110001101100111011000
32122120100212211210110002120
410212021002132031213120
510122133144203430240
6110553455201101240
74154233500200355
oct446110236154730
978510784713076
1020213231311320
116493424132273
122325562327820
13b3813a8a29b8
144dc47b6bb62c
15250bd4bedad0
hex12624278d9d8

20213231311320 has 128 divisors (see below), whose sum is σ = 62663203584000. Its totient is φ = 5210701885440.

The previous prime is 20213231311277. The next prime is 20213231311363. The reversal of 20213231311320 is 2311313231202.

20213231311320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20213231311277) and next prime (20213231311363).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531411 + ... + 6380349.

It is an arithmetic number, because the mean of its divisors is an integer number (489556278000).

Almost surely, 220213231311320 is an apocalyptic number.

20213231311320 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 20213231311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31331601792000).

20213231311320 is an abundant number, since it is smaller than the sum of its proper divisors (42449972272680).

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

20213231311320 is a wasteful number, since it uses less digits than its factorization.

20213231311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849913 (or 5849909 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20213231311320 its reverse (2311313231202), we get a palindrome (22524544542522).

The spelling of 20213231311320 in words is "twenty trillion, two hundred thirteen billion, two hundred thirty-one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 929 930 1240 1858 1860 2787 3716 3720 4645 5574 7432 9290 11148 13935 18580 22296 27870 28799 37160 55740 57598 86397 111480 115196 143995 172794 230392 287990 345588 431985 575980 691176 863970 1151960 1727940 3455880 5848939 11697878 17546817 23395756 29244695 35093634 46791512 58489390 70187268 87734085 116978780 140374536 175468170 181317109 233957560 350936340 362634218 543951327 701872680 725268436 906585545 1087902654 1450536872 1813171090 2175805308 2719756635 3626342180 4351610616 5433664331 5439513270 7252684360 10867328662 10879026540 16300992993 21734657324 21758053080 27168321655 32601985986 43469314648 54336643310 65203971972 81504964965 108673286620 130407943944 163009929930 168443594261 217346573240 326019859860 336887188522 505330782783 652039719720 673774377044 842217971305 1010661565566 1347548754088 1684435942610 2021323131132 2526653913915 3368871885220 4042646262264 5053307827830 6737743770440 10106615655660 20213231311320