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11002110320 = 2451773110819
BaseRepresentation
bin10100011111100011…
…01110000101110000
31001101202102010001102
422033301232011300
5140013020012240
65015421223532
7536433252245
oct121761560560
931352363042
1011002110320
11473644a363
122170701ba8
1310644b6066
1476529d5cc
15445d59815
hex28fc6e170

11002110320 has 80 divisors (see below), whose sum is σ = 27455876640. Its totient is φ = 4085194752.

The previous prime is 11002110319. The next prime is 11002110331. The reversal of 11002110320 is 2301120011.

11002110320 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 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, 43871 + ... + 154689.

It is an arithmetic number, because the mean of its divisors is an integer number (343198458).

Almost surely, 211002110320 is an apocalyptic number.

11002110320 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 11002110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727938320).

11002110320 is an abundant number, since it is smaller than the sum of its proper divisors (16453766320).

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

11002110320 is a wasteful number, since it uses less digits than its factorization.

11002110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110922 (or 110916 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11002110320 its reverse (2301120011), we get a palindrome (13303230331).

The spelling of 11002110320 in words is "eleven billion, two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 146 170 272 292 340 365 584 680 730 1168 1241 1360 1460 2482 2920 4964 5840 6205 9928 12410 19856 24820 49640 99280 110819 221638 443276 554095 886552 1108190 1773104 1883923 2216380 3767846 4432760 7535692 8089787 8865520 9419615 15071384 16179574 18839230 30142768 32359148 37678460 40448935 64718296 75356920 80897870 129436592 137526379 150713840 161795740 275052758 323591480 550105516 647182960 687631895 1100211032 1375263790 2200422064 2750527580 5501055160 11002110320