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11303220132 = 22323710138377
BaseRepresentation
bin10101000011011100…
…10111001110100100
31002011202000002001200
422201232113032210
5141122111021012
65105335122500
7550050533361
oct124156271644
932152002050
1011303220132
114880411646
122235513430
1310b19b2049
14793281468
154624d73dc
hex2a1b973a4

11303220132 has 72 divisors (see below), whose sum is σ = 29376719736. Its totient is φ = 3661853184.

The previous prime is 11303220079. The next prime is 11303220139. The reversal of 11303220132 is 23102230311.

11303220132 is a `hidden beast` number, since 11 + 303 + 220 + 132 = 666.

11303220132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29877156 + 11273342976 = 5466^2 + 106176^2 .

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 (11303220139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1345128 + ... + 1353504.

Almost surely, 211303220132 is an apocalyptic number.

11303220132 is a gapful number since it is divisible by the number (12) 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 11303220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688359868).

11303220132 is an abundant number, since it is smaller than the sum of its proper divisors (18073499604).

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

11303220132 is a wasteful number, since it uses less digits than its factorization.

11303220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11303220132 its reverse (23102230311), we get a palindrome (34405450443).

The spelling of 11303220132 in words is "eleven billion, three hundred three million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1013 1332 2026 3039 4052 6078 8377 9117 12156 16754 18234 25131 33508 36468 37481 50262 74962 75393 100524 112443 149924 150786 224886 301572 309949 337329 449772 619898 674658 929847 1239796 1349316 1859694 2789541 3719388 5579082 8485901 11158164 16971802 25457703 33943604 50915406 76373109 101830812 152746218 305492436 313978337 627956674 941935011 1255913348 1883870022 2825805033 3767740044 5651610066 11303220132