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1121430420 = 223551121907
BaseRepresentation
bin100001011010111…
…1010101110010100
32220011011120100000
41002311322232110
54244041233140
6303140051300
736535000305
oct10265725624
92804146300
101121430420
11526022300
12273693b30
1314b4451c6
14a8d1a7ac
15686baa30
hex42d7ab94

1121430420 has 216 divisors, whose sum is σ = 3879544032. Its totient is φ = 271719360.

The previous prime is 1121430413. The next prime is 1121430421. The reversal of 1121430420 is 240341211.

1121430420 is a `hidden beast` number, since 1 + 1 + 214 + 30 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121430393 and 1121430402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121430421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 587107 + ... + 589013.

It is an arithmetic number, because the mean of its divisors is an integer number (17960852).

Almost surely, 21121430420 is an apocalyptic number.

1121430420 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 1121430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939772016).

1121430420 is an abundant number, since it is smaller than the sum of its proper divisors (2758113612).

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

1121430420 is a wasteful number, since it uses less digits than its factorization.

1121430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1121430420 is about 33487.7652285129. The cubic root of 1121430420 is about 1038.9407422536.

Adding to 1121430420 its reverse (240341211), we get a palindrome (1361771631).

The spelling of 1121430420 in words is "one billion, one hundred twenty-one million, four hundred thirty thousand, four hundred twenty".