Search a number
-
+
20110001212000 = 255372102602047
BaseRepresentation
bin1001001001010001110010…
…11110101000101001100000
32122012111102120011001120201
410210220321132220221200
510113440240302241000
6110434223525514544
74143620401630600
oct444507136505140
978174376131521
1020110001212000
1164536704657a7
122309552872a54
13b2b498b164ab
144d7487678c00
1524d19211c96a
hex124a397a8a60

20110001212000 has 144 divisors (see below), whose sum is σ = 57477256881408. Its totient is φ = 6894857491200.

The previous prime is 20110001211997. The next prime is 20110001212033. The reversal of 20110001212000 is 21210001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51105024 + ... + 51497023.

It is an arithmetic number, because the mean of its divisors is an integer number (399147617232).

Almost surely, 220110001212000 is an apocalyptic number.

20110001212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110001212000 is an abundant number, since it is smaller than the sum of its proper divisors (37367255669408).

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

20110001212000 is a wasteful number, since it uses less digits than its factorization.

20110001212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102602086 (or 102602061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110001212000 its reverse (21210001102), we get a palindrome (20131211213102).

The spelling of 20110001212000 in words is "twenty trillion, one hundred ten billion, one million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 102602047 205204094 410408188 513010235 718214329 820816376 1026020470 1436428658 1641632752 2052040940 2565051175 2872857316 3283265504 3591071645 4104081880 5027500303 5130102350 5745714632 7182143290 8208163760 10055000606 10260204700 11491429264 12825255875 14364286580 16416327520 17955358225 20110001212 20520409400 22982858528 25137501515 25650511750 28728573160 35910716450 40220002424 41040818800 50275003030 51301023500 57457146320 71821432900 80440004848 82081637600 89776791125 100550006060 102602047000 114914292640 125687507575 143642865800 160880009696 179553582250 201100012120 205204094000 251375015150 287285731600 359107164500 402200024240 410408188000 502750030300 574571463200 628437537875 718214329000 804400048480 1005500060600 1256875075750 1436428658000 2011000121200 2513750151500 2872857316000 4022000242400 5027500303000 10055000606000 20110001212000