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11122020300 = 22352233794253
BaseRepresentation
bin10100101101110110…
…01000111111001100
31001201010001011121210
422112323020333030
5140234214122200
65035343254420
7542420420106
oct122673107714
931633034553
1011122020300
1147980aa516
1221a48aa410
1310832ab001
14777194576
15451643650
hex296ec8fcc

11122020300 has 144 divisors (see below), whose sum is σ = 33675344640. Its totient is φ = 2828770560.

The previous prime is 11122020281. The next prime is 11122020311. The reversal of 11122020300 is 302022111.

It is a super-2 number, since 2×111220203002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612974 + ... + 2617226.

It is an arithmetic number, because the mean of its divisors is an integer number (233856560).

Almost surely, 211122020300 is an apocalyptic number.

11122020300 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 11122020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837672320).

11122020300 is an abundant number, since it is smaller than the sum of its proper divisors (22553324340).

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

11122020300 is a wasteful number, since it uses less digits than its factorization.

11122020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11122020300 its reverse (302022111), we get a palindrome (11424042411).

The spelling of 11122020300 in words is "eleven billion, one hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 379 460 575 690 758 1137 1150 1380 1516 1725 1895 2274 2300 3450 3790 4253 4548 5685 6900 7580 8506 8717 9475 11370 12759 17012 17434 18950 21265 22740 25518 26151 28425 34868 37900 42530 43585 51036 52302 56850 63795 85060 87170 97819 104604 106325 113700 127590 130755 174340 195638 212650 217925 255180 261510 293457 318975 391276 425300 435850 489095 523020 586914 637950 653775 871700 978190 1173828 1275900 1307550 1467285 1611887 1956380 2445475 2615100 2934570 3223774 4835661 4890950 5869140 6447548 7336425 8059435 9671322 9781900 14672850 16118870 19342644 24178305 29345700 32237740 37073401 40297175 48356610 74146802 80594350 96713220 111220203 120891525 148293604 161188700 185367005 222440406 241783050 370734010 444880812 483566100 556101015 741468020 926835025 1112202030 1853670050 2224404060 2780505075 3707340100 5561010150 11122020300