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211013133300 = 2232521631438399
BaseRepresentation
bin1100010010000101011…
…1001110001111110100
3202011122212102211020100
43010201113032033310
511424123330231200
6240534343434100
721150050016234
oct3044127161764
9664585384210
10211013133300
118154345a262
1234a8ba55930
1316b8ab945b8
14a2daa0dcc4
155750259d00
hex31215ce3f4

211013133300 has 108 divisors (see below), whose sum is σ = 665467129600. Its totient is φ = 55924914240.

The previous prime is 211013133259. The next prime is 211013133337. The reversal of 211013133300 is 3331310112.

It is a happy number.

211013133300 is a `hidden beast` number, since 21 + 1 + 0 + 1 + 313 + 330 + 0 = 666.

211013133300 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 572500 + ... + 865899.

Almost surely, 2211013133300 is an apocalyptic number.

211013133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211013133300 is an abundant number, since it is smaller than the sum of its proper divisors (454453996300).

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

211013133300 is a wasteful number, since it uses less digits than its factorization.

211013133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438582 (or 1438572 counting only the distinct ones).

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

Adding to 211013133300 its reverse (3331310112), we get a palindrome (214344443412).

The spelling of 211013133300 in words is "two hundred eleven billion, thirteen million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 163 180 225 300 326 450 489 652 815 900 978 1467 1630 1956 2445 2934 3260 4075 4890 5868 7335 8150 9780 12225 14670 16300 24450 29340 36675 48900 73350 146700 1438399 2876798 4315197 5753596 7191995 8630394 12945591 14383990 17260788 21575985 25891182 28767980 35959975 43151970 51782364 64727955 71919950 86303940 107879925 129455910 143839900 215759850 234459037 258911820 323639775 431519700 468918074 647279550 703377111 937836148 1172295185 1294559100 1406754222 2110131333 2344590370 2813508444 3516885555 4220262666 4689180740 5861475925 7033771110 8440525332 10550656665 11722951850 14067542220 17584427775 21101313330 23445903700 35168855550 42202626660 52753283325 70337711100 105506566650 211013133300