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21100111201020 = 223531223145135059
BaseRepresentation
bin1001100110000110000001…
…01000100000001011111100
32202201011002000202212111210
410303003000220200023330
510231201011431413040
6112513131323044420
74305301265652435
oct463030050401374
982634060685453
1021100111201020
1167a556376aaa5
122449414670710
13ba0969124c17
1452d3723d048c
15268ce04a0480
hex1330c0a202fc

21100111201020 has 192 divisors, whose sum is σ = 61303575674880. Its totient is φ = 5416881696000.

The previous prime is 21100111200997. The next prime is 21100111201021. The reversal of 21100111201020 is 2010211100112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21100111200987 and 21100111201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100111201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601828251 + ... + 601863309.

It is an arithmetic number, because the mean of its divisors is an integer number (319289456640).

Almost surely, 221100111201020 is an apocalyptic number.

21100111201020 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 21100111201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30651787837440).

21100111201020 is an abundant number, since it is smaller than the sum of its proper divisors (40203464473860).

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

21100111201020 is a wasteful number, since it uses less digits than its factorization.

21100111201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36776 (or 36774 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100111201020 its reverse (2010211100112), we get a palindrome (23110322301132).

The spelling of 21100111201020 in words is "twenty-one trillion, one hundred billion, one hundred eleven million, two hundred one thousand, twenty".