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332320031114141 = 7229233863498321
BaseRepresentation
bin100101110001111100100100…
…1011010000000001110011101
31121120122111002100111020212202
41023203321021122000032131
5322024212410431123031
63134441414213541245
7126666221111232500
oct11343711132001635
91546574070436782
10332320031114141
1196984151aa9144
1231331a22044825
131135784bb86a95
145c0c537c79137
1528646176392cb
hex12e3e4968039d

332320031114141 has 12 divisors (see below), whose sum is σ = 399906582130620. Its totient is φ = 275023474024320.

The previous prime is 332320031114129. The next prime is 332320031114143. The reversal of 332320031114141 is 141411130023233.

It can be written as a sum of positive squares in 2 ways, for example, as 263550743188516 + 68769287925625 = 16234246^2 + 8292725^2 .

It is a de Polignac number, because none of the positive numbers 2k-332320031114141 is a prime.

It is a super-2 number, since 2×3323200311141412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332320031114143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116931747740 + ... + 116931750581.

It is an arithmetic number, because the mean of its divisors is an integer number (33325548510885).

Almost surely, 2332320031114141 is an apocalyptic number.

It is an amenable number.

332320031114141 is a deficient number, since it is larger than the sum of its proper divisors (67586551016479).

332320031114141 is a wasteful number, since it uses less digits than its factorization.

332320031114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233863498364 (or 233863498357 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 332320031114141 its reverse (141411130023233), we get a palindrome (473731161137374).

The spelling of 332320031114141 in words is "three hundred thirty-two trillion, three hundred twenty billion, thirty-one million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 7 29 49 203 1421 233863498321 1637044488247 6782041451309 11459311417729 47474290159163 332320031114141