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1211530000 = 2454971249
BaseRepresentation
bin100100000110110…
…0111101100010000
310010102201002201111
41020031213230100
54440122430000
6320115143104
742010556302
oct11015475420
93112632644
101211530000
1157197146a
122998a4a94
13164000575
14b6c91972
1571566cba
hex48367b10

1211530000 has 100 divisors (see below), whose sum is σ = 2965847500. Its totient is φ = 479232000.

The previous prime is 1211529989. The next prime is 1211530009. The reversal of 1211530000 is 351121.

It can be written as a sum of positive squares in 10 ways, for example, as 1000583424 + 210946576 = 31632^2 + 14524^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1211530009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 969376 + ... + 970624.

It is an arithmetic number, because the mean of its divisors is an integer number (29658475).

Almost surely, 21211530000 is an apocalyptic number.

1211530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482923750).

1211530000 is an abundant number, since it is smaller than the sum of its proper divisors (1754317500).

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

1211530000 is an equidigital number, since it uses as much as digits as its factorization.

1211530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1211530000 is about 34807.0395178906. The cubic root of 1211530000 is about 1066.0511857262.

Adding to 1211530000 its reverse (351121), we get a palindrome (1211881121).

The spelling of 1211530000 in words is "one billion, two hundred eleven million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 625 776 970 1000 1249 1250 1552 1940 2000 2425 2498 2500 3880 4850 4996 5000 6245 7760 9700 9992 10000 12125 12490 19400 19984 24250 24980 31225 38800 48500 49960 60625 62450 97000 99920 121153 121250 124900 156125 194000 242306 242500 249800 312250 484612 485000 499600 605765 624500 780625 969224 970000 1211530 1249000 1561250 1938448 2423060 2498000 3028825 3122500 4846120 6057650 6245000 9692240 12115300 12490000 15144125 24230600 30288250 48461200 60576500 75720625 121153000 151441250 242306000 302882500 605765000 1211530000