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20221231320100 = 22521711894841953
BaseRepresentation
bin1001001100100000111110…
…10011110100110000100100
32122121010112101020000001001
410212100133103310300210
510122301040204220400
6111001301101043044
74154635651145206
oct446203723646044
978533471200031
1020221231320100
116496859a06278
122327015556484
13b38b14119ac5
144dc9d9d88776
152510021eba6a
hex12641f4f4c24

20221231320100 has 36 divisors (see below), whose sum is σ = 46461252672324. Its totient is φ = 7612698849280.

The previous prime is 20221231320091. The next prime is 20221231320107. The reversal of 20221231320100 is 102313212202.

It can be written as a sum of positive squares in 6 ways, for example, as 403634043684 + 19817597276416 = 635322^2 + 4451696^2 .

It is a super-2 number, since 2×202212313201002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20221231320107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947419277 + ... + 5947422676.

It is an arithmetic number, because the mean of its divisors is an integer number (1290590352009).

Almost surely, 220221231320100 is an apocalyptic number.

20221231320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221231320100 is an abundant number, since it is smaller than the sum of its proper divisors (26240021352224).

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

20221231320100 is a wasteful number, since it uses less digits than its factorization.

20221231320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894841984 (or 11894841977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20221231320100 its reverse (102313212202), we get a palindrome (20323544532302).

The spelling of 20221231320100 in words is "twenty trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11894841953 23789683906 47579367812 59474209765 118948419530 202212313201 237896839060 297371048825 404424626402 594742097650 808849252804 1011061566005 1189484195300 2022123132010 4044246264020 5055307830025 10110615660050 20221231320100