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11111320000 = 26541125253
BaseRepresentation
bin10100101100100100…
…10100100111000000
31001200100220112120101
422112102110213000
5140223444220000
65034322052144
7542230442644
oct122622244700
931610815511
1011111320000
1147920611a0
1221a11aa054
131081002781
147759aac24
1545072ce6a
hex2964949c0

11111320000 has 140 divisors (see below), whose sum is σ = 30058421976. Its totient is φ = 4040320000.

The previous prime is 11111319997. The next prime is 11111320009. The reversal of 11111320000 is 2311111.

It is a super-2 number, since 2×111113200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427374 + ... + 452626.

Almost surely, 211111320000 is an apocalyptic number.

11111320000 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 11111320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029210988).

11111320000 is an abundant number, since it is smaller than the sum of its proper divisors (18947101976).

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

11111320000 is an equidigital number, since it uses as much as digits as its factorization.

11111320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25296 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11111320000 its reverse (2311111), we get a palindrome (11113631111).

The spelling of 11111320000 in words is "eleven billion, one hundred eleven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 25253 27500 40000 44000 50506 55000 88000 101012 110000 126265 202024 220000 252530 277783 404048 440000 505060 555566 631325 808096 1010120 1111132 1262650 1388915 1616192 2020240 2222264 2525300 2777830 3156625 4040480 4444528 5050600 5555660 6313250 6944575 8080960 8889056 10101200 11111320 12626500 13889150 15783125 17778112 20202400 22222640 25253000 27778300 31566250 34722875 40404800 44445280 50506000 55556600 63132500 69445750 88890560 101012000 111113200 126265000 138891500 173614375 202024000 222226400 252530000 277783000 347228750 444452800 505060000 555566000 694457500 1010120000 1111132000 1388915000 2222264000 2777830000 5555660000 11111320000