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230032121312 = 257353395429
BaseRepresentation
bin1101011000111011111…
…0111001110111100000
3210222202100000112000202
43112032332321313200
512232101210340222
6253401510404332
722422260525000
oct3261676716740
9728670015022
10230032121312
1189613154474
12386b93606a8
13188cc24c966
14b1c28cc000
155eb4ce5892
hex358efb9de0

230032121312 has 96 divisors (see below), whose sum is σ = 538101144000. Its totient is φ = 96724852224.

The previous prime is 230032121311. The next prime is 230032121327. The reversal of 230032121312 is 213121230032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230032121311) 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 15 ways as a sum of consecutive naturals, for example, 384014 + ... + 779442.

It is an arithmetic number, because the mean of its divisors is an integer number (5605220250).

Almost surely, 2230032121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230032121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269050572000).

230032121312 is an abundant number, since it is smaller than the sum of its proper divisors (308069022688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230032121312 is an equidigital number, since it uses as much as digits as its factorization.

230032121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395513 (or 395491 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230032121312 its reverse (213121230032), we get a palindrome (443153351344).

The spelling of 230032121312 in words is "two hundred thirty billion, thirty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 98 106 112 196 212 224 343 371 392 424 686 742 784 848 1372 1484 1568 1696 2597 2744 2968 5194 5488 5936 10388 10976 11872 18179 20776 36358 41552 72716 83104 145432 290864 395429 581728 790858 1581716 2768003 3163432 5536006 6326864 11072012 12653728 19376021 20957737 22144024 38752042 41915474 44288048 77504084 83830948 88576096 135632147 146704159 155008168 167661896 271264294 293408318 310016336 335323792 542528588 586816636 620032672 670647584 1026929113 1085057176 1173633272 2053858226 2170114352 2347266544 4107716452 4340228704 4694533088 7188503791 8215432904 14377007582 16430865808 28754015164 32861731616 57508030328 115016060656 230032121312