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11021000120 = 2351372729153
BaseRepresentation
bin10100100001110011…
…10001110110111000
31001110001221210222122
422100321301312320
5140032334000440
65021334140412
7540052645454
oct122071616670
931401853878
1011021000120
114746081569
122176ab1708
13106839b060
147679b9664
1544783b7b5
hex290e71db8

11021000120 has 64 divisors (see below), whose sum is σ = 26742381120. Its totient is φ = 4063555584.

The previous prime is 11021000099. The next prime is 11021000197. The reversal of 11021000120 is 2100012011.

11021000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11021000098 and 11021000107.

It is a congruent number.

It is an unprimeable number.

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, 363464 + ... + 392616.

It is an arithmetic number, because the mean of its divisors is an integer number (417849705).

Almost surely, 211021000120 is an apocalyptic number.

11021000120 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 11021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371190560).

11021000120 is an abundant number, since it is smaller than the sum of its proper divisors (15721381000).

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

11021000120 is a wasteful number, since it uses less digits than its factorization.

11021000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29904 (or 29900 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11021000120 its reverse (2100012011), we get a palindrome (13121012131).

The spelling of 11021000120 in words is "eleven billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 727 1454 2908 3635 5816 7270 9451 14540 18902 29080 29153 37804 47255 58306 75608 94510 116612 145765 189020 233224 291530 378040 378989 583060 757978 1166120 1515956 1894945 3031912 3789890 7579780 15159560 21194231 42388462 84776924 105971155 169553848 211942310 275525003 423884620 551050006 847769240 1102100012 1377625015 2204200024 2755250030 5510500060 11021000120