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11303133210 = 23251016012069
BaseRepresentation
bin10101000011011100…
…00010000000011010
31002011201211122211100
422201232002000122
5141122100230320
65105333212230
7550050022065
oct124156020032
932151748740
1011303133210
114880362306
122235491076
1310b1981605
1479325b8dc
154624bb790
hex2a1b8201a

11303133210 has 96 divisors (see below), whose sum is σ = 29742869520. Its totient is φ = 2977920000.

The previous prime is 11303133199. The next prime is 11303133217. The reversal of 11303133210 is 1233130311.

It is a happy number.

11303133210 is a `hidden beast` number, since 1 + 1 + 30 + 313 + 321 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8060627961 + 3242505249 = 89781^2 + 56943^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11303133217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5462056 + ... + 5464124.

Almost surely, 211303133210 is an apocalyptic number.

11303133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11303133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871434760).

11303133210 is an abundant number, since it is smaller than the sum of its proper divisors (18439736310).

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

11303133210 is a wasteful number, since it uses less digits than its factorization.

11303133210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2781 counting only the distinct ones).

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

Adding to 11303133210 its reverse (1233130311), we get a palindrome (12536263521).

The spelling of 11303133210 in words is "eleven billion, three hundred three million, one hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 601 606 909 1010 1202 1515 1803 1818 2069 3005 3030 3606 4138 4545 5409 6010 6207 9015 9090 10345 10818 12414 18030 18621 20690 27045 31035 37242 54090 60701 62070 93105 121402 182103 186210 208969 303505 364206 417938 546309 607010 626907 910515 1044845 1092618 1243469 1253814 1821030 1880721 2089690 2486938 2731545 3134535 3730407 3761442 5463090 6217345 6269070 7460814 9403605 11191221 12434690 18652035 18807210 22382442 37304070 55956105 111912210 125590369 251180738 376771107 627951845 753542214 1130313321 1255903690 1883855535 2260626642 3767711070 5651566605 11303133210