Search a number
-
+
20012231121220 = 22513312787101771
BaseRepresentation
bin1001000110011011101011…
…11011010101100101000100
32121212011001210110211201101
410203031311323111211010
510110340022131334340
6110321254141305444
74133556512601262
oct443156573254504
977764053424641
1020012231121220
116416159828488
1222b2607865284
13b221b72aac80
144d285083d432
1524a86da5bc9a
hex123375ed5944

20012231121220 has 144 divisors (see below), whose sum is σ = 46825357449024. Its totient is φ = 7141616121600.

The previous prime is 20012231121163. The next prime is 20012231121241. The reversal of 20012231121220 is 2212113221002.

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 47 ways as a sum of consecutive naturals, for example, 196588935 + ... + 196690705.

It is an arithmetic number, because the mean of its divisors is an integer number (325176093396).

Almost surely, 220012231121220 is an apocalyptic number.

20012231121220 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 20012231121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23412678724512).

20012231121220 is an abundant number, since it is smaller than the sum of its proper divisors (26813126327804).

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

20012231121220 is a wasteful number, since it uses less digits than its factorization.

20012231121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102642 (or 102609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 20012231121220 its reverse (2212113221002), we get a palindrome (22224344342222).

The spelling of 20012231121220 in words is "twenty trillion, twelve billion, two hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 787 806 961 1574 1612 1922 2015 3148 3844 3935 4030 4805 7870 8060 9610 10231 12493 15740 19220 20462 24397 24986 40924 48794 49972 51155 62465 97588 101771 102310 121985 124930 203542 204620 243970 249860 317161 407084 487940 508855 634322 756307 1017710 1268644 1323023 1512614 1585805 2035420 2646046 3025228 3154901 3171610 3781535 5292092 6309802 6343220 6615115 7563070 9831991 12619604 13230230 15126140 15774505 19663982 26460460 31549010 39327964 41013713 49159955 63098020 80093777 82027426 97801931 98319910 160187554 164054852 195603862 196639820 205068565 320375108 391207724 400468885 410137130 489009655 800937770 820274260 978019310 1041219101 1271425103 1601875540 1956038620 2082438202 2482907087 2542850206 4164876404 4965814174 5085700412 5206095505 6357125515 9931628348 10412191010 12414535435 12714251030 20824382020 24829070870 25428502060 32277792131 49658141740 64555584262 76970119697 129111168524 153940239394 161388960655 307880478788 322777921310 384850598485 645555842620 769701196970 1000611556061 1539402393940 2001223112122 4002446224244 5003057780305 10006115560610 20012231121220