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21132300441 = 37193111711459
BaseRepresentation
bin10011101011100101…
…010101000010011001
32000112202011002110010
4103223211111002121
5321234332103231
613412534312133
71345451406240
oct235345250231
960482132403
1021132300441
118a646a610a
1241191b8649
131cba1576b5
141046831957
1583a382546
hex4eb955099

21132300441 has 64 divisors (see below), whose sum is σ = 35043737600. Its totient is φ = 11053972800.

The previous prime is 21132300439. The next prime is 21132300443. The reversal of 21132300441 is 14400323112.

It is an interprime number because it is at equal distance from previous prime (21132300439) and next prime (21132300443).

It is not a de Polignac number, because 21132300441 - 21 = 21132300439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21132300443) 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, 14483370 + ... + 14484828.

It is an arithmetic number, because the mean of its divisors is an integer number (547558400).

Almost surely, 221132300441 is an apocalyptic number.

21132300441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21132300441 is a deficient number, since it is larger than the sum of its proper divisors (13911437159).

21132300441 is a wasteful number, since it uses less digits than its factorization.

21132300441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21132300441 its reverse (14400323112), we get a palindrome (35532623553).

The spelling of 21132300441 in words is "twenty-one billion, one hundred thirty-two million, three hundred thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 31 57 93 133 217 399 589 651 1171 1459 1767 3513 4123 4377 8197 10213 12369 22249 24591 27721 30639 36301 45229 66747 83163 108903 135687 155743 194047 254107 316603 467229 582141 689719 762321 859351 949809 1708489 2069157 2578053 4828033 5125467 6015457 11959423 14484099 18046371 32461291 35878269 52963159 97383873 158889477 227229037 370742113 681687111 1006300021 1112226339 3018900063 7044100147 21132300441