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332331010011331 = 1738035140384681
BaseRepresentation
bin100101110010000001101011…
…1110011001011000011000011
31121120200112102111020000111121
41023210003113303023003003
5322024402402030330311
63134450431445453111
7130000060143304222
oct11344032763130303
91546615374200447
10332331010011331
11969888763330a1
1231333b86a11197
13113588ab603056
145c0cc9a014cb9
152864a5b40ab71
hex12e40d7ccb0c3

332331010011331 has 8 divisors (see below), whose sum is σ = 351972419945904. Its totient is φ = 312699880853760.

The previous prime is 332331010011317. The next prime is 332331010011347. The reversal of 332331010011331 is 133110010133233.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 332331010011331 - 29 = 332331010010819 is a prime.

It is a super-3 number, since 3×3323310100113313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332331010011296 and 332331010011305.

It is not an unprimeable number, because it can be changed into a prime (332331010011391) 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 7 ways as a sum of consecutive naturals, for example, 2570127690 + ... + 2570256991.

It is an arithmetic number, because the mean of its divisors is an integer number (43996552493238).

Almost surely, 2332331010011331 is an apocalyptic number.

332331010011331 is a deficient number, since it is larger than the sum of its proper divisors (19641409934573).

332331010011331 is a wasteful number, since it uses less digits than its factorization.

332331010011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140388501.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 332331010011331 its reverse (133110010133233), we get a palindrome (465441020144564).

The spelling of 332331010011331 in words is "three hundred thirty-two trillion, three hundred thirty-one billion, ten million, eleven thousand, three hundred thirty-one".

Divisors: 1 17 3803 64651 5140384681 87386539577 19548882941843 332331010011331