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20022011221100 = 22527241383260213
BaseRepresentation
bin1001000110101101111001…
…10111011101010001101100
32121220002022101110101120212
410203112330313131101230
510111020034333033400
6110325552431001552
74134354050224100
oct443267467352154
977802271411525
1020022011221100
11641a3183a8259
1222b44970692b8
13b230b5564315
144d30db6bd900
1524ac4247e335
hex1235bcddd46c

20022011221100 has 216 divisors, whose sum is σ = 51909370587648. Its totient is φ = 6679746124800.

The previous prime is 20022011221067. The next prime is 20022011221117. The reversal of 20022011221100 is 112211022002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76814594 + ... + 77074806.

It is an arithmetic number, because the mean of its divisors is an integer number (240321160128).

Almost surely, 220022011221100 is an apocalyptic number.

20022011221100 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 20022011221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954685293824).

20022011221100 is an abundant number, since it is smaller than the sum of its proper divisors (31887359366548).

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

20022011221100 is a wasteful number, since it uses less digits than its factorization.

20022011221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260665 (or 260651 counting only the distinct ones).

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

Adding to 20022011221100 its reverse (112211022002), we get a palindrome (20134222243102).

The spelling of 20022011221100 in words is "twenty trillion, twenty-two billion, eleven million, two hundred twenty-one thousand, one hundred".