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231135219 = 3276195927
BaseRepresentation
bin11011100011011…
…01011111110011
3121002220212220200
431301231133303
5433132311334
634534010243
75504421420
oct1561553763
9532825820
10231135219
11109519347
12654a6983
1338b68c03
14229a8d47
1515459799
hexdc6d7f3

231135219 has 24 divisors (see below), whose sum is σ = 382237440. Its totient is φ = 131841648.

The previous prime is 231135199. The next prime is 231135239. The reversal of 231135219 is 912531132.

231135219 is a `hidden beast` number, since 23 + 113 + 521 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (231135199) and next prime (231135239).

It is not a de Polignac number, because 231135219 - 25 = 231135187 is a prime.

It is a super-2 number, since 2×2311352192 = 106846978924355922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231135192 and 231135201.

It is not an unprimeable number, because it can be changed into a prime (231135239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36034 + ... + 41960.

It is an arithmetic number, because the mean of its divisors is an integer number (15926560).

Almost surely, 2231135219 is an apocalyptic number.

231135219 is a deficient number, since it is larger than the sum of its proper divisors (151102221).

231135219 is a wasteful number, since it uses less digits than its factorization.

231135219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6556 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 231135219 is about 15203.1318812934. The cubic root of 231135219 is about 613.6989429392.

The spelling of 231135219 in words is "two hundred thirty-one million, one hundred thirty-five thousand, two hundred nineteen".

Divisors: 1 3 7 9 21 63 619 1857 4333 5571 5927 12999 17781 38997 41489 53343 124467 373401 3668813 11006439 25681691 33019317 77045073 231135219