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231125111402211 = 33135911160611879
BaseRepresentation
bin110100100011010100000010…
…001010011110111011100011
31010022100100022101220222201000
4310203110002022132323203
5220243223212004332321
62135321224350443043
766453144502104525
oct6443240212367343
91108310271828630
10231125111402211
1167709677a70564
1221b09718203483
139bc7009b16270
14411072d53da15
151bac164194826
hexd2350229eee3

231125111402211 has 32 divisors (see below), whose sum is σ = 374996559168000. Its totient is φ = 139820145607584.

The previous prime is 231125111402209. The next prime is 231125111402221. The reversal of 231125111402211 is 112204111521132.

231125111402211 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 2 + 511 + 140 + 2 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 231125111402211 - 21 = 231125111402209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231125111402221) 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 31 ways as a sum of consecutive naturals, for example, 5580285231 + ... + 5580326648.

It is an arithmetic number, because the mean of its divisors is an integer number (11718642474000).

Almost surely, 2231125111402211 is an apocalyptic number.

231125111402211 is a deficient number, since it is larger than the sum of its proper divisors (143871447765789).

231125111402211 is a wasteful number, since it uses less digits than its factorization.

231125111402211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160611960 (or 11160611954 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 231125111402211 its reverse (112204111521132), we get a palindrome (343329222923343).

The spelling of 231125111402211 in words is "two hundred thirty-one trillion, one hundred twenty-five billion, one hundred eleven million, four hundred two thousand, two hundred eleven".

Divisors: 1 3 9 13 27 39 59 117 177 351 531 767 1593 2301 6903 20709 11160611879 33481835637 100445506911 145087954427 301336520733 435263863281 658476100861 1305791589843 1975428302583 3917374769529 5926284907749 8560189311193 17778854723247 25680567933579 77041703800737 231125111402211