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21200000212 = 2217535882353
BaseRepresentation
bin10011101111100111…
…100101010011010100
32000201110112121002001
4103233213211103110
5321404200001322
613423353325044
71350233012536
oct235747452324
960643477061
1021200000212
118a99935a36
124137a06784
131ccb19c231
141051815856
158412a6827
hex4ef9e54d4

21200000212 has 24 divisors (see below), whose sum is σ = 40023536616. Its totient is φ = 9788233728.

The previous prime is 21200000141. The next prime is 21200000219.

21200000212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10965440656 + 10234559556 = 104716^2 + 101166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200000219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2937573 + ... + 2944780.

It is an arithmetic number, because the mean of its divisors is an integer number (1667647359).

Almost surely, 221200000212 is an apocalyptic number.

It is an amenable number.

21200000212 is a deficient number, since it is larger than the sum of its proper divisors (18823536404).

21200000212 is a wasteful number, since it uses less digits than its factorization.

21200000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882427 (or 5882425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 21200000 and 212, that added together give a palindrome (21200212).

The spelling of 21200000212 in words is "twenty-one billion, two hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 17 34 53 68 106 212 901 1802 3604 5882353 11764706 23529412 100000001 200000002 311764709 400000004 623529418 1247058836 5300000053 10600000106 21200000212