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2232321132321 = 327216373092213
BaseRepresentation
bin100000011111000000101…
…101010100011100100001
321220102000022001011210100
4200133000231110130201
5243033243202213241
64425303021053013
7320164666355400
oct40370055243441
97812008034710
102232321132321
117907a40a0095
1230077b9b7169
13132678aac3c7
147a08b389637
153d103c239b6
hex207c0b54721

2232321132321 has 36 divisors (see below), whose sum is σ = 3753199480212. Its totient is φ = 1274832425664.

The previous prime is 2232321132313. The next prime is 2232321132331. The reversal of 2232321132321 is 1232311232322.

2232321132321 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 321 + 13 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 362210181921 + 1870110950400 = 601839^2 + 1367520^2 .

It is not a de Polignac number, because 2232321132321 - 23 = 2232321132313 is a prime.

It is a super-3 number, since 3×22323211323213 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232321132331) 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 35 ways as a sum of consecutive naturals, for example, 824190 + ... + 2268023.

It is an arithmetic number, because the mean of its divisors is an integer number (104255541117).

Almost surely, 22232321132321 is an apocalyptic number.

2232321132321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2232321132321 is a deficient number, since it is larger than the sum of its proper divisors (1520878347891).

2232321132321 is a wasteful number, since it uses less digits than its factorization.

2232321132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093870 (or 3093860 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2232321132321 its reverse (1232311232322), we get a palindrome (3464632364643).

The spelling of 2232321132321 in words is "two trillion, two hundred thirty-two billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1637 4911 11459 14733 34377 80213 103131 240639 721917 3092213 9276639 21645491 27829917 64936473 151518437 194809419 454555311 1363665933 5061952681 15185858043 35433668767 45557574129 106301006301 248035681369 318903018903 744107044107 2232321132321