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231011221000 = 23537109302767
BaseRepresentation
bin1101011100100101010…
…1110111111000001000
3211002021120100221022011
43113021111313320020
512241102333033000
6254043004105304
722455446660020
oct3271125677010
9732246327264
10231011221000
1189a758a256a
1238931235234
1318a2704c9a1
14b276958a80
156020c492ba
hex35c9577e08

231011221000 has 128 divisors (see below), whose sum is σ = 623459865600. Its totient is φ = 78476947200.

The previous prime is 231011220997. The next prime is 231011221003. The reversal of 231011221000 is 122110132.

231011221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231011220997) and next prime (231011221003).

It is not an unprimeable number, because it can be changed into a prime (231011221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611617 + ... + 914383.

It is an arithmetic number, because the mean of its divisors is an integer number (4870780200).

Almost surely, 2231011221000 is an apocalyptic number.

231011221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311729932800).

231011221000 is an abundant number, since it is smaller than the sum of its proper divisors (392448644600).

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

231011221000 is a wasteful number, since it uses less digits than its factorization.

231011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302904 (or 302890 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 231011221000 its reverse (122110132), we get a palindrome (231133331132).

The spelling of 231011221000 in words is "two hundred thirty-one billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 125 140 175 200 218 250 280 350 436 500 545 700 763 872 875 1000 1090 1400 1526 1750 2180 2725 3052 3500 3815 4360 5450 6104 7000 7630 10900 13625 15260 19075 21800 27250 30520 38150 54500 76300 95375 109000 152600 190750 302767 381500 605534 763000 1211068 1513835 2119369 2422136 3027670 4238738 6055340 7569175 8477476 10596845 12110680 15138350 16954952 21193690 30276700 33001603 37845875 42387380 52984225 60553400 66003206 75691750 84774760 105968450 132006412 151383500 165008015 211936900 231011221 264012824 264921125 302767000 330016030 423873800 462022442 529842250 660032060 825040075 924044884 1059684500 1155056105 1320064120 1650080150 1848089768 2119369000 2310112210 3300160300 4125200375 4620224420 5775280525 6600320600 8250400750 9240448840 11550561050 16500801500 23101122100 28876402625 33001603000 46202244200 57752805250 115505610500 231011221000