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1330120441 = 131931173713
BaseRepresentation
bin100111101001000…
…0000011011111001
310102200212010020001
41033102000123321
510211002323231
6335553033001
744650560106
oct11722003371
93380763201
101330120441
116229001a1
12311555761
13182752a20
14c8921aad
157bb8eb61
hex4f4806f9

1330120441 has 16 divisors (see below), whose sum is σ = 1556477440. Its totient is φ = 1125653760.

The previous prime is 1330120423. The next prime is 1330120457. The reversal of 1330120441 is 1440210331.

It is a cyclic number.

It is not a de Polignac number, because 1330120441 - 211 = 1330118393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330120241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79200 + ... + 94513.

It is an arithmetic number, because the mean of its divisors is an integer number (97279840).

Almost surely, 21330120441 is an apocalyptic number.

It is an amenable number.

1330120441 is a deficient number, since it is larger than the sum of its proper divisors (226356999).

1330120441 is a wasteful number, since it uses less digits than its factorization.

1330120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173776.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1330120441 is about 36470.8162919340. The cubic root of 1330120441 is about 1099.7576438523.

Adding to 1330120441 its reverse (1440210331), we get a palindrome (2770330772).

It can be divided in two parts, 1330 and 120441, that added together give a triangular number (121771 = T493).

The spelling of 1330120441 in words is "one billion, three hundred thirty million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 13 19 31 247 403 589 7657 173713 2258269 3300547 5385103 42907111 70006339 102316957 1330120441