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11131120320 = 263511594917
BaseRepresentation
bin10100101110111011…
…10110101011000000
31001201202011111111120
422113131312223000
5140244031322240
65040310312240
7542560650555
oct122735665300
931652144446
1011131120320
1147a22554a1
1221a7958680
131085146038
14778482a2c
1545233ead0
hex297776ac0

11131120320 has 56 divisors (see below), whose sum is σ = 35341310064. Its totient is φ = 2968298496.

The previous prime is 11131120279. The next prime is 11131120321. The reversal of 11131120320 is 2302113111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131120320.

It is not an unprimeable number, because it can be changed into a prime (11131120321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5796499 + ... + 5798418.

Almost surely, 211131120320 is an apocalyptic number.

11131120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131120320 is an abundant number, since it is smaller than the sum of its proper divisors (24210189744).

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

11131120320 is a wasteful number, since it uses less digits than its factorization.

11131120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11594937 (or 11594927 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131120320 its reverse (2302113111), we get a palindrome (13433233431).

The spelling of 11131120320 in words is "eleven billion, one hundred thirty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11594917 23189834 34784751 46379668 57974585 69569502 92759336 115949170 139139004 173923755 185518672 231898340 278278008 347847510 371037344 463796680 556556016 695695020 742074688 927593360 1113112032 1391390040 1855186720 2226224064 2782780080 3710373440 5565560160 11131120320