Search a number
-
+
202220112012000 = 2535316851676001
BaseRepresentation
bin101101111110101100001001…
…111100010110001011100000
3222112000001110022001122212020
4231332230021330112023200
5203001133242133341000
61554030345330501440
760410630614125225
oct5576541174261340
9875001408048766
10202220112012000
11594850823aa655
121a81b742434880
1388ab3757a8124
1437d17116b794c
15185a320ed5ba0
hexb7eb09f162e0

202220112012000 has 96 divisors (see below), whose sum is σ = 662473086990624. Its totient is φ = 53925363200000.

The previous prime is 202220112011999. The next prime is 202220112012029. The reversal of 202220112012000 is 210211022202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8425826001 + ... + 8425850000.

It is an arithmetic number, because the mean of its divisors is an integer number (6900761322819).

Almost surely, 2202220112012000 is an apocalyptic number.

202220112012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220112012000 is an abundant number, since it is smaller than the sum of its proper divisors (460252974978624).

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

202220112012000 is a wasteful number, since it uses less digits than its factorization.

202220112012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851676029 (or 16851676011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202220112012000 its reverse (210211022202), we get a palindrome (202430323034202).

The spelling of 202220112012000 in words is "two hundred two trillion, two hundred twenty billion, one hundred twelve million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 16851676001 33703352002 50555028003 67406704004 84258380005 101110056006 134813408008 168516760010 202220112012 252775140015 269626816016 337033520020 404440224024 421291900025 505550280030 539253632032 674067040040 808880448048 842583800050 1011100560060 1263875700075 1348134080080 1617760896096 1685167600100 2022201120120 2106459500125 2527751400150 2696268160160 3370335200200 4044402240240 4212919000250 5055502800300 6319378500375 6740670400400 8088804480480 8425838000500 10111005600600 12638757000750 13481340800800 16851676001000 20222011201200 25277514001500 33703352002000 40444022402400 50555028003000 67406704004000 101110056006000 202220112012000