Search a number
-
+
231233133120 = 26351121897077
BaseRepresentation
bin1101011101011010010…
…0011001101001000000
3211002212000221020111120
43113112210121221000
512242031140224440
6254121012312240
722464113126103
oct3272644315100
9732760836446
10231233133120
118a07a091410
1238993612680
1318a61009832
14b29820273a
156035480dd0
hex35d6919a40

231233133120 has 112 divisors (see below), whose sum is σ = 800907524928. Its totient is φ = 56056514560.

The previous prime is 231233133113. The next prime is 231233133121. The reversal of 231233133120 is 21331332132.

231233133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (231233133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10937979 + ... + 10959098.

It is an arithmetic number, because the mean of its divisors is an integer number (7150960044).

Almost surely, 2231233133120 is an apocalyptic number.

231233133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231233133120 is an abundant number, since it is smaller than the sum of its proper divisors (569674391808).

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

231233133120 is a wasteful number, since it uses less digits than its factorization.

231233133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897108 (or 21897098 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 231233133120 its reverse (21331332132), we get a palindrome (252564465252).

The spelling of 231233133120 in words is "two hundred thirty-one billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 21897077 43794154 65691231 87588308 109485385 131382462 175176616 218970770 240867847 262764924 328456155 350353232 437941540 481735694 525529848 656912310 700706464 722603541 875883080 963471388 1051059696 1204339235 1313824620 1401412928 1445207082 1751766160 1926942776 2102119392 2408678470 2627649240 2890414164 3503532320 3613017705 3853885552 4204238784 4817356940 5255298480 5780828328 7007064640 7226035410 7707771104 9634713880 10510596960 11561656656 14452070820 15415542208 19269427760 21021193920 23123313312 28904141640 38538855520 46246626624 57808283280 77077711040 115616566560 231233133120