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11031323120 = 2451715153717
BaseRepresentation
bin10100100011000010…
…01010000111110000
31001110210101021110222
422101201022013300
5140043004314440
65022343312212
7540236461616
oct122141120760
931423337428
1011031323120
114750992374
12217a44b668
13106a57393c
147691056b6
154486ca2b5
hex29184a1f0

11031323120 has 80 divisors (see below), whose sum is σ = 27336875328. Its totient is φ = 4125388800.

The previous prime is 11031323113. The next prime is 11031323203. The reversal of 11031323120 is 2132313011.

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 (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178502 + ... + 232218.

Almost surely, 211031323120 is an apocalyptic number.

11031323120 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 11031323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668437664).

11031323120 is an abundant number, since it is smaller than the sum of its proper divisors (16305552208).

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

11031323120 is a wasteful number, since it uses less digits than its factorization.

11031323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53898 (or 53892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11031323120 its reverse (2132313011), we get a palindrome (13163636131).

The spelling of 11031323120 in words is "eleven billion, thirty-one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 151 170 272 302 340 604 680 755 1208 1360 1510 2416 2567 3020 5134 6040 10268 12080 12835 20536 25670 41072 51340 53717 102680 107434 205360 214868 268585 429736 537170 859472 913189 1074340 1826378 2148680 3652756 4297360 4565945 7305512 8111267 9131890 14611024 16222534 18263780 32445068 36527560 40556335 64890136 73055120 81112670 129780272 137891539 162225340 275783078 324450680 551566156 648901360 689457695 1103132312 1378915390 2206264624 2757830780 5515661560 11031323120