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231132211330321 = 737987121074757
BaseRepresentation
bin110100100011011010101001…
…010110100011110100010001
31010022101000122012200201002101
4310203122221112203310101
5220243332232100032241
62135324401054520401
766453515443356430
oct6443325126436421
91108330565621071
10231132211330321
1167711690767644
1221b0ab79b06101
139bc789ba39062
144110c0446d117
151bac42c64be31
hexd236a95a3d11

231132211330321 has 8 divisors (see below), whose sum is σ = 264848067264320. Its totient is φ = 197590597546608.

The previous prime is 231132211330313. The next prime is 231132211330369. The reversal of 231132211330321 is 123033112231132.

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

It is not a de Polignac number, because 231132211330321 - 23 = 231132211330313 is a prime.

It is a super-3 number, since 3×2311322113303213 (a number of 44 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 self number, because there is not a number n which added to its sum of digits gives 231132211330321.

It is not an unprimeable number, because it can be changed into a prime (231132211330121) 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, 43560534726 + ... + 43560540031.

It is an arithmetic number, because the mean of its divisors is an integer number (33106008408040).

Almost surely, 2231132211330321 is an apocalyptic number.

It is an amenable number.

231132211330321 is a deficient number, since it is larger than the sum of its proper divisors (33715855933999).

231132211330321 is an equidigital number, since it uses as much as digits as its factorization.

231132211330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87121075143.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 231132211330321 its reverse (123033112231132), we get a palindrome (354165323561453).

The spelling of 231132211330321 in words is "two hundred thirty-one trillion, one hundred thirty-two billion, two hundred eleven million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 379 2653 87121074757 609847523299 33018887332903 231132211330321