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11073243120 = 243557180803
BaseRepresentation
bin10100101000000010…
…00100011111110000
31001120201021000220120
422110001010133300
5140134222234440
65030442010240
7541256004432
oct122401043760
931521230816
1011073243120
1147726144a5
1221904a6980
131076160384
147708d8652
1544c20add0
hex2940447f0

11073243120 has 80 divisors (see below), whose sum is σ = 34387596672. Its totient is φ = 2947656960.

The previous prime is 11073243113. The next prime is 11073243163. The reversal of 11073243120 is 2134237011.

It is a happy number.

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 (24).

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, 96639 + ... + 177441.

Almost surely, 211073243120 is an apocalyptic number.

11073243120 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 11073243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193798336).

11073243120 is an abundant number, since it is smaller than the sum of its proper divisors (23314353552).

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

11073243120 is a wasteful number, since it uses less digits than its factorization.

11073243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81390 (or 81384 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 11073243120 in words is "eleven billion, seventy-three million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 571 1142 1713 2284 2855 3426 4568 5710 6852 8565 9136 11420 13704 17130 22840 27408 34260 45680 68520 80803 137040 161606 242409 323212 404015 484818 646424 808030 969636 1212045 1292848 1616060 1939272 2424090 3232120 3878544 4848180 6464240 9696360 19392720 46138513 92277026 138415539 184554052 230692565 276831078 369108104 461385130 553662156 692077695 738216208 922770260 1107324312 1384155390 1845540520 2214648624 2768310780 3691081040 5536621560 11073243120