Search a number
-
+
20220012201100 = 22523155901116681
BaseRepresentation
bin1001001100011110101101…
…01001010000010010001100
32122121000101102020100011111
410212033112221100102030
510122241041110413400
6111000540111101404
74154563515620335
oct446172651202214
978530342210144
1020220012201100
116496293831108
122326935211864
13b3897b69020a
144dc9220bd28c
15250e801863ba
hex1263d6a5048c

20220012201100 has 72 divisors (see below), whose sum is σ = 45294025746816. Its totient is φ = 7826894400000.

The previous prime is 20220012201097. The next prime is 20220012201149. The reversal of 20220012201100 is 110221002202.

It is a happy 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, 173234760 + ... + 173351440.

It is an arithmetic number, because the mean of its divisors is an integer number (629083690928).

Almost surely, 220220012201100 is an apocalyptic number.

20220012201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220012201100 is an abundant number, since it is smaller than the sum of its proper divisors (25074013545716).

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

20220012201100 is a wasteful number, since it uses less digits than its factorization.

20220012201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172627 (or 172620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20220012201100 its reverse (110221002202), we get a palindrome (20330233203302).

The spelling of 20220012201100 in words is "twenty trillion, two hundred twenty billion, twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 55901 111802 116681 223604 233362 279505 466724 559010 583405 1118020 1166810 1397525 1732931 2333620 2795050 2917025 3465862 3617111 5590100 5834050 6931724 7234222 8664655 11668100 14468444 17329310 18085555 34658620 36171110 43323275 72342220 86646550 90427775 173293100 180855550 361711100 6522584581 13045169162 26090338324 32612922905 65225845810 130451691620 163064614525 202200122011 326129229050 404400244022 652258458100 808800488044 1011000610055 2022001220110 4044002440220 5055003050275 10110006100550 20220012201100