Search a number
-
+
2022012100200 = 233524437607269
BaseRepresentation
bin11101011011001001010…
…100000001111001101000
321011022011111111101210110
4131123021110001321220
5231112040044201300
64144522144414320
7266041226161221
oct35331124017150
97138144441713
102022012100200
1170a592131534
12287a679173a0
131188a0a61b31
146dc1a0a0248
15378e56eb550
hex1d6c9501e68

2022012100200 has 96 divisors (see below), whose sum is σ = 6282387856800. Its totient is φ = 537985992960.

The previous prime is 2022012100187. The next prime is 2022012100219. The reversal of 2022012100200 is 20012102202.

It is a super-3 number, since 3×20220121002003 (a number of 38 digits) contains 333 as substring.

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

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, 3537835 + ... + 4069434.

It is an arithmetic number, because the mean of its divisors is an integer number (65441540175).

Almost surely, 22022012100200 is an apocalyptic number.

2022012100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022012100200 is an abundant number, since it is smaller than the sum of its proper divisors (4260375756600).

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

2022012100200 is a wasteful number, since it uses less digits than its factorization.

2022012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607731 (or 7607722 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022012100200 its reverse (20012102202), we get a palindrome (2042024202402).

It can be divided in two parts, 2022012 and 100200, that added together give a palindrome (2122212).

The spelling of 2022012100200 in words is "two trillion, twenty-two billion, twelve million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 443 600 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 11075 13290 17720 22150 26580 33225 44300 53160 66450 88600 132900 265800 7607269 15214538 22821807 30429076 38036345 45643614 60858152 76072690 91287228 114109035 152145380 182574456 190181725 228218070 304290760 380363450 456436140 570545175 760726900 912872280 1141090350 1521453800 2282180700 3370020167 4564361400 6740040334 10110060501 13480080668 16850100835 20220121002 26960161336 33700201670 40440242004 50550302505 67400403340 80880484008 84250504175 101100605010 134800806680 168501008350 202201210020 252751512525 337002016700 404402420040 505503025050 674004033400 1011006050100 2022012100200