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11331203010 = 2353799110301
BaseRepresentation
bin10101000110110010…
…00110111111000010
31002020200122202100120
422203121012333002
5141201241444020
65112215001110
7550540431201
oct124331067702
932220582316
1011331203010
114895194596
122242969196
1310b772bb6a
14796c87238
15464bb3740
hex2a3646fc2

11331203010 has 64 divisors (see below), whose sum is σ = 27960781824. Its totient is φ = 2936736000.

The previous prime is 11331202979. The next prime is 11331203021. The reversal of 11331203010 is 1030213311.

11331203010 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 (15).

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 31 ways as a sum of consecutive naturals, for example, 1094860 + ... + 1105160.

It is an arithmetic number, because the mean of its divisors is an integer number (436887216).

Almost surely, 211331203010 is an apocalyptic number.

11331203010 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 11331203010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980390912).

11331203010 is an abundant number, since it is smaller than the sum of its proper divisors (16629578814).

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

11331203010 is a wasteful number, since it uses less digits than its factorization.

11331203010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11331203010 its reverse (1030213311), we get a palindrome (12361416321).

The spelling of 11331203010 in words is "eleven billion, three hundred thirty-one million, two hundred three thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 991 1110 1982 2973 4955 5946 9910 10301 14865 20602 29730 30903 36667 51505 61806 73334 103010 110001 154515 183335 220002 309030 366670 381137 550005 762274 1100010 1143411 1905685 2286822 3811370 5717055 10208291 11434110 20416582 30624873 51041455 61249746 102082910 153124365 306248730 377706767 755413534 1133120301 1888533835 2266240602 3777067670 5665601505 11331203010