Search a number
-
+
211333333320 = 23325673872269
BaseRepresentation
bin1100010011010001110…
…0101100000101001000
3202012111011221200002100
43010310130230011020
511430302313131240
6241030222433400
721161015460054
oct3046434540510
9665434850070
10211333333320
118169818027a
1234b5b132860
1316c0c315875
14a32b360c64
15576d408e30
hex313472c148

211333333320 has 96 divisors (see below), whose sum is σ = 687854676600. Its totient is φ = 56271753216.

The previous prime is 211333333301. The next prime is 211333333357. The reversal of 211333333320 is 23333333112.

211333333320 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 3 + 333 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146623131396 + 64710201924 = 382914^2 + 254382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193855 + ... + 678414.

Almost surely, 2211333333320 is an apocalyptic number.

211333333320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211333333320 is an abundant number, since it is smaller than the sum of its proper divisors (476521343280).

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

211333333320 is a wasteful number, since it uses less digits than its factorization.

211333333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872959 (or 872952 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 211333333320 its reverse (23333333112), we get a palindrome (234666666432).

The spelling of 211333333320 in words is "two hundred eleven billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673 1346 2019 2692 3365 4038 5384 6057 6730 8076 10095 12114 13460 16152 20190 24228 26920 30285 40380 48456 60570 80760 121140 242280 872269 1744538 2616807 3489076 4361345 5233614 6978152 7850421 8722690 10467228 13084035 15700842 17445380 20934456 26168070 31401684 34890760 39252105 52336140 62803368 78504210 104672280 157008420 314016840 587037037 1174074074 1761111111 2348148148 2935185185 3522222222 4696296296 5283333333 5870370370 7044444444 8805555555 10566666666 11740740740 14088888888 17611111110 21133333332 23481481480 26416666665 35222222220 42266666664 52833333330 70444444440 105666666660 211333333320