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231332101 = 71113229613
BaseRepresentation
bin11011100100111…
…01100100000101
3121010021212222121
431302131210011
5433210111401
634542125541
75506201420
oct1562354405
9533255877
10231332101
11109643260
12655808b1
1338c07700
1422a1a9b7
1515497ca1
hexdc9d905

231332101 has 48 divisors (see below), whose sum is σ = 323602560. Its totient is φ = 160392960.

The previous prime is 231332089. The next prime is 231332149. The reversal of 231332101 is 101233132.

231332101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231332101 - 211 = 231330053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231333101) 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, 377071 + ... + 377683.

It is an arithmetic number, because the mean of its divisors is an integer number (6741720).

Almost surely, 2231332101 is an apocalyptic number.

It is an amenable number.

231332101 is a deficient number, since it is larger than the sum of its proper divisors (92270459).

231332101 is a wasteful number, since it uses less digits than its factorization.

231332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 231332101 is about 15209.6055504408. The cubic root of 231332101 is about 613.8731439765.

Adding to 231332101 its reverse (101233132), we get a palindrome (332565233).

The spelling of 231332101 in words is "two hundred thirty-one million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 7 11 13 29 77 91 143 169 203 319 377 613 1001 1183 1859 2233 2639 4147 4291 4901 6743 7969 13013 17777 29029 34307 47201 53911 55783 87659 103597 124439 195547 231101 377377 613613 725179 1139567 1368829 1617707 2542111 3004313 7976969 17794777 21030191 33047443 231332101