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11211001320 = 2335234061957
BaseRepresentation
bin10100111000011101…
…00100110111101000
31001221022110212122010
422130032210313220
5140430004020240
65052242355520
7544550640021
oct123416446750
931838425563
1011211001320
114833355252
12220a65bba0
1310988641bc
14784d17c48
1545936d280
hex29c3a4de8

11211001320 has 64 divisors (see below), whose sum is σ = 35095317120. Its totient is φ = 2859617024.

The previous prime is 11211001303. The next prime is 11211001349. The reversal of 11211001320 is 2310011211.

11211001320 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11211001296 and 11211001305.

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, 2028219 + ... + 2033738.

It is an arithmetic number, because the mean of its divisors is an integer number (548364330).

Almost surely, 211211001320 is an apocalyptic number.

11211001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211001320 is an abundant number, since it is smaller than the sum of its proper divisors (23884315800).

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

11211001320 is a wasteful number, since it uses less digits than its factorization.

11211001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061994 (or 4061990 counting only the distinct ones).

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

Adding to 11211001320 its reverse (2310011211), we get a palindrome (13521012531).

The spelling of 11211001320 in words is "eleven billion, two hundred eleven million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4061957 8123914 12185871 16247828 20309785 24371742 32495656 40619570 48743484 60929355 81239140 93425011 97486968 121858710 162478280 186850022 243717420 280275033 373700044 467125055 487434840 560550066 747400088 934250110 1121100132 1401375165 1868500220 2242200264 2802750330 3737000440 5605500660 11211001320