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11273240000 = 26541125621
BaseRepresentation
bin10100111111110111…
…11111110111000000
31002002122120221001102
422133323333313000
5141041422140000
65102344353532
7546234646631
oct123773776700
932078527042
1011273240000
1148654a5080
1222274758a8
1310a8716119
1478d2b9888
1545ea643d5
hex29feffdc0

11273240000 has 140 divisors (see below), whose sum is σ = 30496431768. Its totient is φ = 4099200000.

The previous prime is 11273239969. The next prime is 11273240003. The reversal of 11273240000 is 4237211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427190 + ... + 452810.

Almost surely, 211273240000 is an apocalyptic number.

11273240000 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 11273240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248215884).

11273240000 is an abundant number, since it is smaller than the sum of its proper divisors (19223191768).

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

11273240000 is an equidigital number, since it uses as much as digits as its factorization.

11273240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25664 (or 25639 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 11273240000 its reverse (4237211), we get a palindrome (11277477211).

The spelling of 11273240000 in words is "eleven billion, two hundred seventy-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 25621 27500 40000 44000 51242 55000 88000 102484 110000 128105 204968 220000 256210 281831 409936 440000 512420 563662 640525 819872 1024840 1127324 1281050 1409155 1639744 2049680 2254648 2562100 2818310 3202625 4099360 4509296 5124200 5636620 6405250 7045775 8198720 9018592 10248400 11273240 12810500 14091550 16013125 18037184 20496800 22546480 25621000 28183100 32026250 35228875 40993600 45092960 51242000 56366200 64052500 70457750 90185920 102484000 112732400 128105000 140915500 176144375 204968000 225464800 256210000 281831000 352288750 450929600 512420000 563662000 704577500 1024840000 1127324000 1409155000 2254648000 2818310000 5636620000 11273240000