Search a number
-
+
20221120211000 = 2353101547366013
BaseRepresentation
bin1001001100100000110001…
…01011111110100000111000
32122121010020122011002000012
410212100120223332200320
510122300323233223000
6111001242051401052
74154633131554032
oct446203053764070
978533218132005
1020221120211000
116496802217375
122326ba42b3188
13b38ac70b6987
144dc9c9304c52
15250ee75a0735
hex126418afe838

20221120211000 has 128 divisors (see below), whose sum is σ = 47873401392960. Its totient is φ = 7993702080000.

The previous prime is 20221120210957. The next prime is 20221120211003. The reversal of 20221120211000 is 11202112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221120211003) 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, 55063994 + ... + 55430006.

Almost surely, 220221120211000 is an apocalyptic number.

20221120211000 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 20221120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23936700696480).

20221120211000 is an abundant number, since it is smaller than the sum of its proper divisors (27652281181960).

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

20221120211000 is a wasteful number, since it uses less digits than its factorization.

20221120211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366682 (or 366668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20221120211000 its reverse (11202112202), we get a palindrome (20232322323202).

It can be divided in two parts, 202211202 and 11000, that added together give a palindrome (202222202).

The spelling of 20221120211000 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 547 808 1000 1010 1094 2020 2188 2525 2735 4040 4376 5050 5470 10100 10940 12625 13675 20200 21880 25250 27350 50500 54700 55247 68375 101000 109400 110494 136750 220988 273500 276235 366013 441976 547000 552470 732026 1104940 1381175 1464052 1830065 2209880 2762350 2928104 3660130 5524700 6905875 7320260 9150325 11049400 13811750 14640520 18300650 27623500 36601300 36967313 45751625 55247000 73202600 73934626 91503250 147869252 183006500 184836565 200209111 295738504 366013000 369673130 400418222 739346260 800836444 924182825 1001045555 1478692520 1601672888 1848365650 2002091110 3696731300 4004182220 4620914125 5005227775 7393462600 8008364440 9241828250 10010455550 18483656500 20020911100 20221120211 25026138875 36967313000 40041822200 40442240422 50052277750 80884480844 100104555500 101105601055 161768961688 200209111000 202211202110 404422404220 505528005275 808844808440 1011056010550 2022112021100 2527640026375 4044224042200 5055280052750 10110560105500 20221120211000