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32013111321 = 3210932633141
BaseRepresentation
bin11101110100001000…
…010101000000011001
310001122001022112221200
4131310020111000121
51011030324030241
622412344024413
72212212646032
oct356410250031
9101561275850
1032013111321
11126386263a4
126255162109
133032480229
141799957a89
15c7572b4b6
hex774215019

32013111321 has 12 divisors (see below), whose sum is σ = 46665393060. Its totient is φ = 21146274720.

The previous prime is 32013111311. The next prime is 32013111337. The reversal of 32013111321 is 12311131023.

32013111321 is a `hidden beast` number, since 32 + 0 + 1 + 311 + 1 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24347233296 + 7665878025 = 156036^2 + 87555^2 .

It is not a de Polignac number, because 32013111321 - 25 = 32013111289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32013111294 and 32013111303.

It is not an unprimeable number, because it can be changed into a prime (32013111311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16315590 + ... + 16317551.

It is an arithmetic number, because the mean of its divisors is an integer number (3888782755).

Almost surely, 232013111321 is an apocalyptic number.

It is an amenable number.

32013111321 is a deficient number, since it is larger than the sum of its proper divisors (14652281739).

32013111321 is a wasteful number, since it uses less digits than its factorization.

32013111321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32633256 (or 32633253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32013111321 its reverse (12311131023), we get a palindrome (44324242344).

It can be divided in two parts, 320 and 13111321, that added together give a square (13111641 = 36212).

The spelling of 32013111321 in words is "thirty-two billion, thirteen million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 109 327 981 32633141 97899423 293698269 3557012369 10671037107 32013111321