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20220110202112 = 281012812783017
BaseRepresentation
bin1001001100011110111000…
…11111000110010100000000
32122121000122020122022021121
410212033130133012110000
510122241241202431422
6111000553531402024
74154566115615512
oct446173437062400
978530566568247
1020220110202112
116496334087787
122326961bb3314
13b38995a83b92
144dc93110dbb2
15250e88a938c7
hex1263dc7c6500

20220110202112 has 72 divisors (see below), whose sum is σ = 40905922903272. Its totient is φ = 9974329344000.

The previous prime is 20220110202059. The next prime is 20220110202121. The reversal of 20220110202112 is 21120201102202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6403248055296 + 13816862146816 = 2530464^2 + 3717104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5874028 + ... + 8657044.

It is an arithmetic number, because the mean of its divisors is an integer number (568137818101).

Almost surely, 220220110202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452961451636).

20220110202112 is an abundant number, since it is smaller than the sum of its proper divisors (20685812701160).

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

20220110202112 is a wasteful number, since it uses less digits than its factorization.

20220110202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783415 (or 2783401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20220110202112 its reverse (21120201102202), we get a palindrome (41340311304314).

The spelling of 20220110202112 in words is "twenty trillion, two hundred twenty billion, one hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 281 404 562 808 1124 1616 2248 3232 4496 6464 8992 12928 17984 25856 28381 35968 56762 71936 113524 227048 454096 908192 1816384 2783017 3632768 5566034 7265536 11132068 22264136 44528272 89056544 178113088 281084717 356226176 562169434 712452352 782027777 1124338868 1564055554 2248677736 3128111108 4497355472 6256222216 8994710944 12512444432 17989421888 25024888864 35978843776 50049777728 71957687552 78984805477 100099555456 157969610954 200199110912 315939221908 631878443816 1263756887632 2527513775264 5055027550528 10110055101056 20220110202112