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11220121000 = 2353111020011
BaseRepresentation
bin10100111001100010…
…10111010110101000
31001221221122012111001
422130301113112220
5140434322333000
65053210044344
7545021312014
oct123461272650
931857565431
1011220121000
114838513a80
1222117196b4
13109a70816a
1478620d544
1545a07046a
hex29cc575a8

11220121000 has 64 divisors (see below), whose sum is σ = 28641936960. Its totient is φ = 4080040000.

The previous prime is 11220120973. The next prime is 11220121001. The reversal of 11220121000 is 12102211.

11220121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112201210002 (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 not an unprimeable number, because it can be changed into a prime (11220121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499006 + ... + 521005.

It is an arithmetic number, because the mean of its divisors is an integer number (447530265).

Almost surely, 211220121000 is an apocalyptic number.

11220121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220121000 is an abundant number, since it is smaller than the sum of its proper divisors (17421815960).

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

11220121000 is a wasteful number, since it uses less digits than its factorization.

11220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020043 (or 1020029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11220121000 its reverse (12102211), we get a palindrome (11232223211).

The spelling of 11220121000 in words is "eleven billion, two hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1020011 2040022 4080044 5100055 8160088 10200110 11220121 20400220 22440242 25500275 40800440 44880484 51000550 56100605 89760968 102001100 112201210 127501375 204002200 224402420 255002750 280503025 448804840 510005500 561006050 1020011000 1122012100 1402515125 2244024200 2805030250 5610060500 11220121000