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21132300231 = 3271073134891
BaseRepresentation
bin10011101011100101…
…010100111111000111
32000112202011002011100
4103223211110333013
5321234332101411
613412534311143
71345451405520
oct235345247707
960482132140
1021132300231
118a646a5a39
1241191b84b3
131cba157583
141046831847
1583a382456
hex4eb954fc7

21132300231 has 24 divisors (see below), whose sum is σ = 35211106944. Its totient is φ = 11962740240.

The previous prime is 21132300199. The next prime is 21132300247. The reversal of 21132300231 is 13200323112.

21132300231 is a `hidden beast` number, since 2 + 1 + 132 + 300 + 231 = 666.

It is not a de Polignac number, because 21132300231 - 25 = 21132300199 is a prime.

It is a super-2 number, since 2×211323002312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132300031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560705 + ... + 1574186.

It is an arithmetic number, because the mean of its divisors is an integer number (1467129456).

Almost surely, 221132300231 is an apocalyptic number.

21132300231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21132300231 is a deficient number, since it is larger than the sum of its proper divisors (14078806713).

21132300231 is a wasteful number, since it uses less digits than its factorization.

21132300231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135011 (or 3135008 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21132300231 its reverse (13200323112), we get a palindrome (34332623343).

The spelling of 21132300231 in words is "twenty-one billion, one hundred thirty-two million, three hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 107 321 749 963 2247 6741 3134891 9404673 21944237 28214019 65832711 197498133 335433337 1006300011 2348033359 3018900033 7044100077 21132300231