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11331221120 = 27588320051
BaseRepresentation
bin10101000110110010…
…01011011010000000
31002020200200200012022
422203121023122000
5141201243033440
65112215221012
7550540535042
oct124331133200
932220620168
1011331221120
1148951a715a
122242977768
1310b773718b
14796c8da92
15464bb8cb5
hex2a364b680

11331221120 has 64 divisors (see below), whose sum is σ = 27120731040. Its totient is φ = 4527129600.

The previous prime is 11331221107. The next prime is 11331221149. The reversal of 11331221120 is 2112213311.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555095 + ... + 575145.

Almost surely, 211331221120 is an apocalyptic number.

11331221120 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 11331221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560365520).

11331221120 is an abundant number, since it is smaller than the sum of its proper divisors (15789509920).

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

11331221120 is an equidigital number, since it uses as much as digits as its factorization.

11331221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20953 (or 20941 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11331221120 its reverse (2112213311), we get a palindrome (13443434431).

The spelling of 11331221120 in words is "eleven billion, three hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 883 1766 3532 4415 7064 8830 14128 17660 20051 28256 35320 40102 56512 70640 80204 100255 113024 141280 160408 200510 282560 320816 401020 565120 641632 802040 1283264 1604080 2566528 3208160 6416320 12832640 17705033 35410066 70820132 88525165 141640264 177050330 283280528 354100660 566561056 708201320 1133122112 1416402640 2266244224 2832805280 5665610560 11331221120