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1130531441 = 13131701947
BaseRepresentation
bin100001101100010…
…1000101001110001
32220210021221120212
41003120220221301
54303404001231
6304103113505
740005234014
oct10330505161
92823257525
101130531441
11530179006
12276742895
131502b0820
14aa20937b
15693b742b
hex43628a71

1130531441 has 16 divisors (see below), whose sum is σ = 1229836608. Its totient is φ = 1033032000.

The previous prime is 1130531371. The next prime is 1130531449. The reversal of 1130531441 is 1441350311.

It is a happy number.

It is not a de Polignac number, because 1130531441 - 210 = 1130530417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1130531449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1193330 + ... + 1194276.

It is an arithmetic number, because the mean of its divisors is an integer number (76864788).

Almost surely, 21130531441 is an apocalyptic number.

It is an amenable number.

1130531441 is a deficient number, since it is larger than the sum of its proper divisors (99305167).

1130531441 is a wasteful number, since it uses less digits than its factorization.

1130531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1130531441 is about 33623.3764068988. The cubic root of 1130531441 is about 1041.7436974231.

Adding to 1130531441 its reverse (1441350311), we get a palindrome (2571881752).

The spelling of 1130531441 in words is "one billion, one hundred thirty million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 13 131 701 947 1703 9113 12311 91831 124057 663847 1193803 1612741 8630011 86963957 1130531441