Search a number
-
+
331013203020 = 223352921137497
BaseRepresentation
bin1001101000100011110…
…11001010010001001100
31011122101212201222101000
410310101323022101030
520410403334444040
6412022041420300
732625546542013
oct4642173122114
91148355658330
10331013203020
111184223617a5
125419b79a690
13252a30a4606
1412041d73a7a
158925226130
hex4d11eca44c

331013203020 has 96 divisors (see below), whose sum is σ = 1065329899200. Its totient is φ = 85226383872.

The previous prime is 331013202983. The next prime is 331013203043. The reversal of 331013203020 is 20302310133.

331013203020 is a `hidden beast` number, since 3 + 310 + 1 + 320 + 30 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331013202984 and 331013203002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10553089 + ... + 10584408.

It is an arithmetic number, because the mean of its divisors is an integer number (11097186450).

Almost surely, 2331013203020 is an apocalyptic number.

331013203020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331013203020 is an abundant number, since it is smaller than the sum of its proper divisors (734316696180).

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

331013203020 is a wasteful number, since it uses less digits than its factorization.

331013203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137544 (or 21137536 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331013203020 its reverse (20302310133), we get a palindrome (351315513153).

The spelling of 331013203020 in words is "three hundred thirty-one billion, thirteen million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 21137497 42274994 63412491 84549988 105687485 126824982 190237473 211374970 253649964 317062455 380474946 422749940 570712419 612987413 634124910 760949892 951187365 1141424838 1225974826 1268249820 1838962239 1902374730 2282849676 2451949652 2853562095 3064937065 3677924478 3804749460 5516886717 5707124190 6129874130 7355848956 9194811195 11033773434 11414248380 12259748260 16550660151 18389622390 22067546868 27584433585 33101320302 36779244780 55168867170 66202640604 82753300755 110337734340 165506601510 331013203020