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11213331000 = 2335337101021
BaseRepresentation
bin10100111000101110…
…11101101000111000
31001221110212020100120
422130113131220320
5140431103043000
65052404333240
7544606512054
oct123427355070
931843766316
1011213331000
1148346a6603
12220b3a4220
13109919b701
14785362c64
1545967d6a0
hex29c5dda38

11213331000 has 128 divisors (see below), whose sum is σ = 35931504960. Its totient is φ = 2909376000.

The previous prime is 11213330993. The next prime is 11213331001. The reversal of 11213331000 is 13331211.

It is a super-2 number, since 2×112133310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213331001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60490 + ... + 161510.

Almost surely, 211213331000 is an apocalyptic number.

11213331000 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 11213331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965752480).

11213331000 is an abundant number, since it is smaller than the sum of its proper divisors (24718173960).

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

11213331000 is a wasteful number, since it uses less digits than its factorization.

11213331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101082 (or 101068 counting only the distinct ones).

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

Adding to 11213331000 its reverse (13331211), we get a palindrome (11226662211).

The spelling of 11213331000 in words is "eleven billion, two hundred thirteen million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 101021 111000 202042 303063 404084 505105 606126 808168 1010210 1212252 1515315 2020420 2424504 2525525 3030630 3737777 4040840 5051050 6061260 7475554 7576575 10102100 11213331 12122520 12627625 14951108 15153150 18688885 20204200 22426662 25255250 29902216 30306300 37377770 37882875 44853324 50510500 56066655 60612600 74755540 75765750 89706648 93444425 101021000 112133310 149511080 151531500 186888850 224266620 280333275 303063000 373777700 448533240 467222125 560666550 747555400 934444250 1121333100 1401666375 1868888500 2242666200 2803332750 3737777000 5606665500 11213331000