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20102101110 = 23257133766337
BaseRepresentation
bin10010101110001011…
…011011100001110110
31220212221122112122100
4102232023123201312
5312132114213420
613122413442530
71311102016530
oct225613334166
956787575570
1020102101110
118586126103
123a901a0446
131b848a58b0
14d89aa2850
157c9bd8190
hex4ae2db876

20102101110 has 192 divisors, whose sum is σ = 66066279552. Its totient is φ = 4126629888.

The previous prime is 20102101093. The next prime is 20102101111. The reversal of 20102101110 is 1110120102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20102101092 and 20102101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102101111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 269862 + ... + 336198.

It is an arithmetic number, because the mean of its divisors is an integer number (344095206).

Almost surely, 220102101110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033139776).

20102101110 is an abundant number, since it is smaller than the sum of its proper divisors (45964178442).

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

20102101110 is a wasteful number, since it uses less digits than its factorization.

20102101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66407 (or 66404 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20102101110 its reverse (1110120102), we get a palindrome (21212221212).

The spelling of 20102101110 in words is "twenty billion, one hundred two million, one hundred one thousand, one hundred ten".