Search a number
-
+
20012021100120 = 233573486200707
BaseRepresentation
bin1001000110011011010010…
…11010001010111001011000
32121212010112011021122221010
410203031221122022321120
510110334104400200440
6110321221240013520
74133551352466000
oct443155132127130
977763464248833
1020012021100120
116416061220525
1222b25694612a0
13b2218292562a
144d28309ad000
1524a85a3c3580
hex12336968ae58

20012021100120 has 128 divisors (see below), whose sum is σ = 70012901952000. Its totient is φ = 4574176242048.

The previous prime is 20012021100041. The next prime is 20012021100121. The reversal of 20012021100120 is 2100112021002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20012021100096 and 20012021100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012021100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243059194 + ... + 243141513.

It is an arithmetic number, because the mean of its divisors is an integer number (546975796500).

Almost surely, 220012021100120 is an apocalyptic number.

20012021100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012021100120 is an abundant number, since it is smaller than the sum of its proper divisors (50000880851880).

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

20012021100120 is a wasteful number, since it uses less digits than its factorization.

20012021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486200742 (or 486200724 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20012021100120 its reverse (2100112021002), we get a palindrome (22112133121122).

The spelling of 20012021100120 in words is "twenty trillion, twelve billion, twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 486200707 972401414 1458602121 1944802828 2431003535 2917204242 3403404949 3889605656 4862007070 5834408484 6806809898 7293010605 9724014140 10210214847 11668816968 13613619796 14586021210 17017024745 19448028280 20420429694 23823834643 27227239592 29172042420 34034049490 40840859388 47647669286 51051074235 58344084840 68068098980 71471503929 81681718776 95295338572 102102148470 119119173215 136136197960 142943007858 166766842501 190590677144 204204296940 238238346430 285886015716 333533685002 357357519645 408408593880 476476692860 500300527503 571772031432 667067370004 714715039290 833834212505 952953385720 1000601055006 1334134740008 1429430078580 1667668425010 2001202110012 2501502637515 2858860157160 3335336850020 4002404220024 5003005275030 6670673700040 10006010550060 20012021100120