Search a number
-
+
20222010110000 = 24543176379183
BaseRepresentation
bin1001001100100010011011…
…01110101011000000110000
32122121012112122122121221102
410212101031232223000300
510122304134042010000
6111001510241143532
74154664155562536
oct446211556530060
978535478577842
1020222010110000
11649711957a696
1223271b232aba8
13b38c0958482a
144dca71592156
1525104a7843d5
hex12644dbab030

20222010110000 has 100 divisors (see below), whose sum is σ = 49113962776032. Its totient is φ = 8063286048000.

The previous prime is 20222010109921. The next prime is 20222010110047. The reversal of 20222010110000 is 1101022202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 19592 + ... + 6359591.

Almost surely, 220222010110000 is an apocalyptic number.

20222010110000 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 20222010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24556981388016).

20222010110000 is an abundant number, since it is smaller than the sum of its proper divisors (28891952666032).

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

20222010110000 is an equidigital number, since it uses as much as digits as its factorization.

20222010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379528 (or 6379507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20222010110000 its reverse (1101022202), we get a palindrome (20223111132202).

The spelling of 20222010110000 in words is "twenty trillion, two hundred twenty-two billion, ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 400 500 625 634 1000 1250 1268 1585 2000 2500 2536 3170 5000 5072 6340 7925 10000 12680 15850 25360 31700 39625 63400 79250 126800 158500 198125 317000 396250 634000 792500 1585000 3170000 6379183 12758366 25516732 31895915 51033464 63791830 102066928 127583660 159479575 255167320 318959150 510334640 637918300 797397875 1275836600 1594795750 2022201011 2551673200 3189591500 3986989375 4044402022 6379183000 7973978750 8088804044 10111005055 12758366000 15947957500 16177608088 20222010110 31895915000 32355216176 40444020220 50555025275 63791830000 80888040440 101110050550 161776080880 202220101100 252775126375 404440202200 505550252750 808880404400 1011100505500 1263875631875 2022201011000 2527751263750 4044402022000 5055502527500 10111005055000 20222010110000