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11131003310 = 257199881907
BaseRepresentation
bin10100101110111010…
…11010000110101110
31001201201221112222212
422113131122012232
5140244014101220
65040304010422
7542556652460
oct122735320656
931651845885
1011131003310
1147a2185599
1221a7900a12
1310851049bb
14778452130
1545231a0c5
hex29775a1ae

11131003310 has 64 divisors (see below), whose sum is σ = 23064652800. Its totient is φ = 3788674560.

The previous prime is 11131003277. The next prime is 11131003337. The reversal of 11131003310 is 1330013111.

It is a happy number.

It is a super-2 number, since 2×111310033102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 12271877 + ... + 12272783.

It is an arithmetic number, because the mean of its divisors is an integer number (360385200).

Almost surely, 211131003310 is an apocalyptic number.

11131003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131003310 is an abundant number, since it is smaller than the sum of its proper divisors (11933649490).

11131003310 is a wasteful number, since it uses less digits than its factorization.

11131003310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11131003310 its reverse (1330013111), we get a palindrome (12461016421).

The spelling of 11131003310 in words is "eleven billion, one hundred thirty-one million, three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 199 398 881 907 995 1393 1762 1814 1990 2786 4405 4535 6167 6349 6965 8810 9070 12334 12698 13930 30835 31745 61670 63490 175319 180493 350638 360986 799067 876595 902465 1227233 1263451 1598134 1753190 1804930 2454466 2526902 3995335 5593469 6136165 6317255 7990670 11186938 12272330 12634510 27967345 55934690 159014333 318028666 795071665 1113100331 1590143330 2226200662 5565501655 11131003310