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332301321321131 = 3747197996557651
BaseRepresentation
bin100101110001110011110111…
…0001101110011101010101011
31121120120200210102201021220002
41023203213232031303222223
5322023411101224234011
63134425041454053215
7126664656343511141
oct11343475615635253
91546520712637802
10332301321321131
1196977220898798
123132a2801aa20b
1311355b59898846
145c0b681085591
152863dbecc6c3b
hex12e39ee373aab

332301321321131 has 16 divisors (see below), whose sum is σ = 348719891351040. Its totient is φ = 316281148495200.

The previous prime is 332301321321059. The next prime is 332301321321133. The reversal of 332301321321131 is 131123123103233.

It is a cyclic number.

It is not a de Polignac number, because 332301321321131 - 222 = 332301317126827 is a prime.

It is a super-2 number, since 2×3323013213211312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332301321321094 and 332301321321103.

It is not an unprimeable number, because it can be changed into a prime (332301321321133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44837345 + ... + 51720306.

It is an arithmetic number, because the mean of its divisors is an integer number (21794993209440).

Almost surely, 2332301321321131 is an apocalyptic number.

332301321321131 is a deficient number, since it is larger than the sum of its proper divisors (16418570029909).

332301321321131 is a wasteful number, since it uses less digits than its factorization.

332301321321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96559714.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 332301321321131 its reverse (131123123103233), we get a palindrome (463424444424364).

The spelling of 332301321321131 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred twenty-one million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 37 47 1739 1979 73223 93013 3441481 96557651 3572633087 4538209597 167913755089 191087591329 7070240879173 8981116792463 332301321321131