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11000210320 = 2451122435573
BaseRepresentation
bin10100011111010100…
…11110001110010000
31001101121211120202001
422033222132032100
5140012023212240
65015312403344
7536411150011
oct121752361620
931347746661
1011000210320
114735371910
12216bb46554
131063c9c2b8
14764d27008
15445ad189a
hex28fa9e390

11000210320 has 80 divisors (see below), whose sum is σ = 27917980992. Its totient is φ = 3997575680.

The previous prime is 11000210311. The next prime is 11000210321. The reversal of 11000210320 is 2301200011.

11000210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11000210297 and 11000210306.

It is not an unprimeable number, because it can be changed into a prime (11000210321) 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, 1971054 + ... + 1976626.

Almost surely, 211000210320 is an apocalyptic number.

11000210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000210320 is an abundant number, since it is smaller than the sum of its proper divisors (16917770672).

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

11000210320 is a wasteful number, since it uses less digits than its factorization.

11000210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11000210320 its reverse (2301200011), we get a palindrome (13301410331).

The spelling of 11000210320 in words is "eleven billion, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2243 4486 5573 8972 11146 11215 17944 22292 22430 24673 27865 35888 44584 44860 49346 55730 61303 89168 89720 98692 111460 122606 123365 179440 197384 222920 245212 246730 306515 394768 445840 490424 493460 613030 980848 986920 1226060 1973840 2452120 4904240 12500239 25000478 50000956 62501195 100001912 125002390 137502629 200003824 250004780 275005258 500009560 550010516 687513145 1000019120 1100021032 1375026290 2200042064 2750052580 5500105160 11000210320