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11454313120 = 255102170117
BaseRepresentation
bin10101010101011101…
…01111001010100000
31002120021022101200021
422222232233022200
5141424301004440
65132333403224
7553564024615
oct125256571240
932507271607
1011454313120
11494872aa88
122278039514
1311070a4593
147a937250c
154708d084a
hex2aabaf2a0

11454313120 has 48 divisors (see below), whose sum is σ = 27087705288. Its totient is φ = 4577172480.

The previous prime is 11454313111. The next prime is 11454313121. The reversal of 11454313120 is 2131345411.

11454313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9060755344 + 2393557776 = 95188^2 + 48924^2 .

It is not an unprimeable number, because it can be changed into a prime (11454313121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128302 + ... + 198418.

Almost surely, 211454313120 is an apocalyptic number.

11454313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11454313120 is an abundant number, since it is smaller than the sum of its proper divisors (15633392168).

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

11454313120 is a wasteful number, since it uses less digits than its factorization.

11454313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71153 (or 71145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11454313120 its reverse (2131345411), we get a palindrome (13585658531).

The spelling of 11454313120 in words is "eleven billion, four hundred fifty-four million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1021 2042 4084 5105 8168 10210 16336 20420 32672 40840 70117 81680 140234 163360 280468 350585 560936 701170 1121872 1402340 2243744 2804680 5609360 11218720 71589457 143178914 286357828 357947285 572715656 715894570 1145431312 1431789140 2290862624 2863578280 5727156560 11454313120