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230303131120 = 24529937105943
BaseRepresentation
bin1101011001111100100…
…0101110010111110000
3211000110012222020121001
43112133020232113300
512233130100143440
6253444431211344
722432061213026
oct3263710562760
9730405866531
10230303131120
1189742128117
1238774076b54
131894343a2aa
14b20a8b6716
155ecd9c9b9a
hex359f22e5f0

230303131120 has 80 divisors (see below), whose sum is σ = 554515133760. Its totient is φ = 88848893952.

The previous prime is 230303131117. The next prime is 230303131127. The reversal of 230303131120 is 21131303032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230303131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120869 + ... + 2226811.

It is an arithmetic number, because the mean of its divisors is an integer number (6931439172).

Almost surely, 2230303131120 is an apocalyptic number.

230303131120 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 230303131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277257566880).

230303131120 is an abundant number, since it is smaller than the sum of its proper divisors (324212002640).

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

230303131120 is a wasteful number, since it uses less digits than its factorization.

230303131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106922 (or 106916 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 230303131120 its reverse (21131303032), we get a palindrome (251434434152).

The spelling of 230303131120 in words is "two hundred thirty billion, three hundred three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 937 1160 1874 2320 3748 4685 7496 9370 14992 18740 27173 37480 54346 74960 105943 108692 135865 211886 217384 271730 423772 434768 529715 543460 847544 1059430 1086920 1695088 2118860 2173840 3072347 4237720 6144694 8475440 12289388 15361735 24578776 30723470 49157552 61446940 99268591 122893880 198537182 245787760 397074364 496342955 794148728 992685910 1588297456 1985371820 2878789139 3970743640 5757578278 7941487280 11515156556 14393945695 23030313112 28787891390 46060626224 57575782780 115151565560 230303131120