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1131013120 = 2105220901
BaseRepresentation
bin100001101101001…
…1110010000000000
32220211012102022211
41003122132100000
54304014404440
6304121311504
740012311226
oct10332362000
92824172284
101131013120
11530477996
12276935594
1315041bb43
14aa2d2b16
156945eeea
hex4369e400

1131013120 has 44 divisors (see below), whose sum is σ = 2713118364. Its totient is φ = 452403200.

The previous prime is 1131013073. The next prime is 1131013129. The reversal of 1131013120 is 213101311.

It can be written as a sum of positive squares in 2 ways, for example, as 902882304 + 228130816 = 30048^2 + 15104^2 .

It is a super-2 number, since 2×11310131202 = 2558381355224268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131013120.

It is not an unprimeable number, because it can be changed into a prime (1131013129) 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 3 ways as a sum of consecutive naturals, for example, 105331 + ... + 115570.

It is an arithmetic number, because the mean of its divisors is an integer number (61661781).

Almost surely, 21131013120 is an apocalyptic number.

1131013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131013120 is an abundant number, since it is smaller than the sum of its proper divisors (1582105244).

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

1131013120 is an equidigital number, since it uses as much as digits as its factorization.

1131013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220926 (or 220908 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1131013120 is about 33630.5385029738. The cubic root of 1131013120 is about 1041.8916263224.

Adding to 1131013120 its reverse (213101311), we get a palindrome (1344114431).

The spelling of 1131013120 in words is "one billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 220901 441802 883604 1104505 1767208 2209010 3534416 4418020 7068832 8836040 14137664 17672080 28275328 35344160 56550656 70688320 113101312 141376640 226202624 282753280 565506560 1131013120