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230153267411307 = 321910106831331699
BaseRepresentation
bin110100010101001010111011…
…101111110111100101101011
31010011220102210221000000121200
4310111022323233313211223
5220131312342424130212
62133254541301135243
766323011343350542
oct6425127357674553
91104812727000550
10230153267411307
11673744a8408a79
12219912b36ba523
139b5648ab8c546
1440b9698697159
151b91c3470e6dc
hexd152bbbf796b

230153267411307 has 24 divisors (see below), whose sum is σ = 349941249528000. Its totient is φ = 145359705387888.

The previous prime is 230153267411267. The next prime is 230153267411321. The reversal of 230153267411307 is 703114762351032.

230153267411307 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 5 + 326 + 7 + 4 + 11 + 307 = 666.

It is not a de Polignac number, because 230153267411307 - 227 = 230153133193579 is a prime.

It is a super-2 number, since 2×2301532674113072 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230153267415307) 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, 172160944 + ... + 173492642.

It is an arithmetic number, because the mean of its divisors is an integer number (14580885397000).

Almost surely, 2230153267411307 is an apocalyptic number.

230153267411307 is a deficient number, since it is larger than the sum of its proper divisors (119787982116693).

230153267411307 is a wasteful number, since it uses less digits than its factorization.

230153267411307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342407 (or 2342404 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 230153267411307 in words is "two hundred thirty trillion, one hundred fifty-three billion, two hundred sixty-seven million, four hundred eleven thousand, three hundred seven".

Divisors: 1 3 9 19 57 171 1010683 1331699 3032049 3995097 9096147 11985291 19202977 25302281 57608931 75906843 172826793 227720529 1345925540417 4037776621251 12113329863753 25572585267923 76717755803769 230153267411307