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1121313120 = 253519373323
BaseRepresentation
bin100001011010101…
…1110000101100000
32220010221121102120
41002311132011200
54244024004440
6303133344240
736534001314
oct10265360540
92803847376
101121313120
11525a52164
12273638080
1314b4039b5
14a8cc9b44
1568695dd0
hex42d5e160

1121313120 has 192 divisors, whose sum is σ = 3819674880. Its totient is φ = 275539968.

The previous prime is 1121313119. The next prime is 1121313161. The reversal of 1121313120 is 213131211.

It is a happy number.

It is a super-2 number, since 2×11213131202 = 2514686226168268800, which contains 22 as substring.

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 1121313120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335779 + ... + 339101.

It is an arithmetic number, because the mean of its divisors is an integer number (19894140).

Almost surely, 21121313120 is an apocalyptic number.

1121313120 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 1121313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909837440).

1121313120 is an abundant number, since it is smaller than the sum of its proper divisors (2698361760).

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

1121313120 is a wasteful number, since it uses less digits than its factorization.

1121313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3389 counting only the distinct ones).

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

The square root of 1121313120 is about 33486.0137968078. The cubic root of 1121313120 is about 1038.9045170908.

Adding to 1121313120 its reverse (213131211), we get a palindrome (1334444331).

It can be divided in two parts, 1 and 121313120, that added together give a palindrome (121313121).

The spelling of 1121313120 in words is "one billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".