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1121431520 = 2551117371013
BaseRepresentation
bin100001011010111…
…1010111111100000
32220011011121211202
41002311322333200
54244041302040
6303140100332
736535003436
oct10265727740
92804147752
101121431520
11526023110
122736946a8
1314b445861
14a8d1ad56
15686bb015
hex42d7afe0

1121431520 has 192 divisors, whose sum is σ = 3146060736. Its totient is φ = 373063680.

The previous prime is 1121431517. The next prime is 1121431523. The reversal of 1121431520 is 251341211.

It is an interprime number because it is at equal distance from previous prime (1121431517) and next prime (1121431523).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1121431492 and 1121431501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121431523) 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 31 ways as a sum of consecutive naturals, for example, 1106534 + ... + 1107546.

It is an arithmetic number, because the mean of its divisors is an integer number (16385733).

Almost surely, 21121431520 is an apocalyptic number.

1121431520 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 1121431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573030368).

1121431520 is an abundant number, since it is smaller than the sum of its proper divisors (2024629216).

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

1121431520 is a wasteful number, since it uses less digits than its factorization.

1121431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1121431520 is about 33487.7816524176. The cubic root of 1121431520 is about 1038.9410819490.

Adding to 1121431520 its reverse (251341211), we get a palindrome (1372772731).

The spelling of 1121431520 in words is "one billion, one hundred twenty-one million, four hundred thirty-one thousand, five hundred twenty".