Search a number
-
+
20221022311100 = 22521333569463363
BaseRepresentation
bin1001001100100000100101…
…10110100001001010111100
32122121002222210221020120222
410212100102312201022330
510122300123202423400
6111001224233200512
74154630532456422
oct446202266411274
978532883836528
1020221022311100
116496761a2a766
122326b77560138
13b38aaca2a040
144dc9ba2dd112
15250eddbb3185
hex126412da12bc

20221022311100 has 72 divisors (see below), whose sum is σ = 47256483360240. Its totient is φ = 7465985095680.

The previous prime is 20221022311099. The next prime is 20221022311109. The reversal of 20221022311100 is 111322012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221022311109) by changing a digit.

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, 43408019 + ... + 43871381.

It is an arithmetic number, because the mean of its divisors is an integer number (656340046670).

Almost surely, 220221022311100 is an apocalyptic number.

20221022311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221022311100 is an abundant number, since it is smaller than the sum of its proper divisors (27035461049140).

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

20221022311100 is a wasteful number, since it uses less digits than its factorization.

20221022311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496959 (or 496952 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20221022311100 its reverse (111322012202), we get a palindrome (20332344323302).

The spelling of 20221022311100 in words is "twenty trillion, two hundred twenty-one billion, twenty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 33569 67138 134276 167845 335690 436397 463363 671380 839225 872794 926726 1678450 1745588 1853452 2181985 2316815 3356900 4363970 4633630 6023719 8727940 9267260 10909925 11584075 12047438 21819850 23168150 24094876 30118595 43639700 46336300 60237190 120474380 150592975 301185950 602371900 15554632547 31109265094 62218530188 77773162735 155546325470 202210223111 311092650940 388865813675 404420446222 777731627350 808840892444 1011051115555 1555463254700 2022102231110 4044204462220 5055255577775 10110511155550 20221022311100