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11121303300 = 22352413372683
BaseRepresentation
bin10100101101110000…
…11001111100000100
31001201001200202002020
422112320121330010
5140234023201200
65035320043140
7542411342532
oct122670317404
931631622066
1011121303300
11479775a858
1221a46034b0
1310830b9853
14777049152
15451550ea0
hex296e19f04

11121303300 has 144 divisors (see below), whose sum is σ = 33072591552. Its totient is φ = 2883686400.

The previous prime is 11121303299. The next prime is 11121303301. The reversal of 11121303300 is 330312111.

It is an interprime number because it is at equal distance from previous prime (11121303299) and next prime (11121303301).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11121303300.

It is not an unprimeable number, because it can be changed into a prime (11121303301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4143759 + ... + 4146441.

Almost surely, 211121303300 is an apocalyptic number.

11121303300 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 11121303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536295776).

11121303300 is an abundant number, since it is smaller than the sum of its proper divisors (21951288252).

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

11121303300 is a wasteful number, since it uses less digits than its factorization.

11121303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3071 counting only the distinct ones).

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

Adding to 11121303300 its reverse (330312111), we get a palindrome (11451615411).

The spelling of 11121303300 in words is "eleven billion, one hundred twenty-one million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 337 410 492 615 674 820 1011 1025 1230 1348 1685 2022 2050 2460 2683 3075 3370 4044 4100 5055 5366 6150 6740 8049 8425 10110 10732 12300 13415 13817 16098 16850 20220 25275 26830 27634 32196 33700 40245 41451 50550 53660 55268 67075 69085 80490 82902 101100 110003 134150 138170 160980 165804 201225 207255 220006 268300 276340 330009 345425 402450 414510 440012 550015 660018 690850 804900 829020 904171 1036275 1100030 1320036 1381700 1650045 1808342 2072550 2200060 2712513 2750075 3300090 3616684 4145100 4520855 5425026 5500150 6600180 8250225 9041710 10850052 11000300 13562565 16500450 18083420 22604275 27125130 33000900 37071011 45208550 54250260 67812825 74142022 90417100 111213033 135625650 148284044 185355055 222426066 271251300 370710110 444852132 556065165 741420220 926775275 1112130330 1853550550 2224260660 2780325825 3707101100 5560651650 11121303300