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230133034341 = 32714924516143
BaseRepresentation
bin1101011001010011111…
…1110110110101100101
3211000000100220102200100
43112110333312311211
512232303024044331
6253415513334313
722424624342040
oct3262477666545
9730010812610
10230133034341
1189665109971
1238727107399
1318917122c02
14b1d2079c57
155ebdacaae6
hex3594ff6d65

230133034341 has 24 divisors (see below), whose sum is σ = 382451846400. Its totient is φ = 130622004576.

The previous prime is 230133034331. The next prime is 230133034367. The reversal of 230133034341 is 143430331032.

230133034341 is a `hidden beast` number, since 2 + 3 + 0 + 13 + 303 + 4 + 341 = 666.

It is not a de Polignac number, because 230133034341 - 222 = 230128840037 is a prime.

It is a super-2 number, since 2×2301330343412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230133034331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12248685 + ... + 12267458.

It is an arithmetic number, because the mean of its divisors is an integer number (15935493600).

Almost surely, 2230133034341 is an apocalyptic number.

230133034341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230133034341 is a deficient number, since it is larger than the sum of its proper divisors (152318812059).

230133034341 is a wasteful number, since it uses less digits than its factorization.

230133034341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24516305 (or 24516302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230133034341 its reverse (143430331032), we get a palindrome (373563365373).

The spelling of 230133034341 in words is "two hundred thirty billion, one hundred thirty-three million, thirty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 3129 9387 24516143 73548429 171613001 220645287 514839003 1544517009 3652905307 10958715921 25570337149 32876147763 76711011447 230133034341