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21200111121 = 372419533691
BaseRepresentation
bin10011101111101000…
…000000011000010001
32000201110202020012210
4103233220000120101
5321404212023441
613423355542333
71350233654100
oct235750003021
960643666183
1021200111121
118a99a012a2
124137a5a9a9
131ccb20a867
141051844037
158412c9616
hex4efa00611

21200111121 has 48 divisors (see below), whose sum is σ = 33728280768. Its totient is φ = 11803276800.

The previous prime is 21200111089. The next prime is 21200111131. The reversal of 21200111121 is 12111100212.

It is not a de Polignac number, because 21200111121 - 25 = 21200111089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21200111097 and 21200111106.

It is not an unprimeable number, because it can be changed into a prime (21200111131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5741886 + ... + 5745576.

It is an arithmetic number, because the mean of its divisors is an integer number (702672516).

Almost surely, 221200111121 is an apocalyptic number.

21200111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21200111121 is a deficient number, since it is larger than the sum of its proper divisors (12528169647).

21200111121 is a wasteful number, since it uses less digits than its factorization.

21200111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4695 counting only the distinct ones).

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

Adding to 21200111121 its reverse (12111100212), we get a palindrome (33311211333).

The spelling of 21200111121 in words is "twenty-one billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 21 41 49 123 147 287 861 953 2009 2859 3691 6027 6671 11073 20013 25837 39073 46697 77511 117219 140091 151331 180859 273511 453993 542577 820533 1059317 1914577 3177951 3517523 5743731 7415219 10552569 22245657 24622661 73867983 144218443 172358627 432655329 517075881 1009529101 3028587303 7066703707 21200111121