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20020011111100 = 2252711132353191859
BaseRepresentation
bin1001000110101010001011…
…01001101001001010111100
32121212220010222220021110201
410203111011221221022330
510111001440321023400
6110325022141413244
74134253352453440
oct443250551511274
977786128807421
1020020011111100
116419491395a90
1222b401926a224
13b22b5707bb90
144d2d8bbd6820
1524ab76a9906a
hex123545a692bc

20020011111100 has 1152 divisors, whose sum is σ = 62411365416960. Its totient is φ = 5371052544000.

The previous prime is 20020011111041. The next prime is 20020011111103. The reversal of 20020011111100 is 111111002002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020011111103) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23306182471 + ... + 23306183329.

It is an arithmetic number, because the mean of its divisors is an integer number (54176532480).

Almost surely, 220020011111100 is an apocalyptic number.

20020011111100 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 20020011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31205682708480).

20020011111100 is an abundant number, since it is smaller than the sum of its proper divisors (42391354305860).

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

20020011111100 is a wasteful number, since it uses less digits than its factorization.

20020011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20020011111100 its reverse (111111002002), we get a palindrome (20131122113102).

The spelling of 20020011111100 in words is "twenty trillion, twenty billion, eleven million, one hundred eleven thousand, one hundred".