Search a number
-
+
211313103300 = 2232521318060949
BaseRepresentation
bin1100010011001100111…
…1100001000111000100
3202012102202212212201100
43010303033201013010
511430232123301200
6241024221100100
721160351512315
oct3046317410704
9665382785640
10211313103300
1181687813152
1234b543b7630
1316c08081840
14a3287b660c
15576b75ed00
hex31333e11c4

211313103300 has 108 divisors (see below), whose sum is σ = 713299159300. Its totient is φ = 52015530240.

The previous prime is 211313103283. The next prime is 211313103349. The reversal of 211313103300 is 3301313112.

It is a happy number.

211313103300 is a `hidden beast` number, since 2 + 11 + 313 + 10 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 75788988804 + 135524114496 = 275298^2 + 368136^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 9018775 + ... + 9042174.

Almost surely, 2211313103300 is an apocalyptic number.

211313103300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313103300 is an abundant number, since it is smaller than the sum of its proper divisors (501986056000).

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

211313103300 is a wasteful number, since it uses less digits than its factorization.

211313103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18060982 (or 18060972 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211313103300 its reverse (3301313112), we get a palindrome (214614416412).

The spelling of 211313103300 in words is "two hundred eleven billion, three hundred thirteen million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 18060949 36121898 54182847 72243796 90304745 108365694 162548541 180609490 216731388 234792337 270914235 325097082 361218980 451523725 469584674 541828470 650194164 704377011 812742705 903047450 939169348 1083656940 1173961685 1354571175 1408754022 1625485410 1806094900 2113131033 2347923370 2709142350 2817508044 3250970820 3521885055 4063713525 4226262066 4695846740 5418284700 5869808425 7043770110 8127427050 8452524132 10565655165 11739616850 14087540220 16254854100 17609425275 21131310330 23479233700 35218850550 42262620660 52828275825 70437701100 105656551650 211313103300