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230020132293 = 3371217037737
BaseRepresentation
bin1101011000111001000…
…1001010110111000101
3210222201111110102012000
43112032101022313011
512232040123213133
6253400401415513
722422053602410
oct3261621126705
9728644412160
10230020132293
1189607405996
12386b533a599
13188c9912973
14b1c108ab77
155eb3c28413
hex358e44adc5

230020132293 has 16 divisors (see below), whose sum is σ = 389452076160. Its totient is φ = 131440075488.

The previous prime is 230020132267. The next prime is 230020132313. The reversal of 230020132293 is 392231020032.

230020132293 is a `hidden beast` number, since 230 + 0 + 20 + 1 + 322 + 93 = 666.

230020132293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230020132293 - 25 = 230020132261 is a prime.

It is a super-2 number, since 2×2300201322932 (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230020131293) 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 15 ways as a sum of consecutive naturals, for example, 608518680 + ... + 608519057.

It is an arithmetic number, because the mean of its divisors is an integer number (24340754760).

Almost surely, 2230020132293 is an apocalyptic number.

It is an amenable number.

230020132293 is a deficient number, since it is larger than the sum of its proper divisors (159431943867).

230020132293 is a wasteful number, since it uses less digits than its factorization.

230020132293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217037753 (or 1217037747 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 230020132293 in words is "two hundred thirty billion, twenty million, one hundred thirty-two thousand, two hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 189 1217037737 3651113211 8519264159 10953339633 25557792477 32860018899 76673377431 230020132293