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11144332120 = 2352571084079
BaseRepresentation
bin10100110000100000…
…10000001101011000
31001202200000201200111
422120100100031120
5140310422111440
65041501414104
7543111155125
oct123020201530
931680021614
1011144332120
1147a9759739
1221b026a334
131087ac077c
1477a12174c
1545359e4ea
hex298410358

11144332120 has 32 divisors (see below), whose sum is σ = 25172337600. Its totient is φ = 4440383488.

The previous prime is 11144332081. The next prime is 11144332123. The reversal of 11144332120 is 2123344111.

It is a super-2 number, since 2×111443321202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11144332091 and 11144332100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144332123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531760 + ... + 552319.

It is an arithmetic number, because the mean of its divisors is an integer number (786635550).

Almost surely, 211144332120 is an apocalyptic number.

11144332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144332120 is an abundant number, since it is smaller than the sum of its proper divisors (14028005480).

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

11144332120 is a wasteful number, since it uses less digits than its factorization.

11144332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084347 (or 1084343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11144332120 its reverse (2123344111), we get a palindrome (13267676231).

The spelling of 11144332120 in words is "eleven billion, one hundred forty-four million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 1084079 2168158 4336316 5420395 8672632 10840790 21681580 43363160 278608303 557216606 1114433212 1393041515 2228866424 2786083030 5572166060 11144332120