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1133131441 = 13149584993
BaseRepresentation
bin100001110001010…
…0011011010110001
32220222012001010011
41003202203122301
54310040201231
6304234534521
740036313131
oct10342433261
92828161104
101133131441
11531694472
12277597441
131509b10a0
14aa6c4ac1
156972c9b1
hex438a36b1

1133131441 has 8 divisors (see below), whose sum is σ = 1228487400. Its totient is φ = 1038945792.

The previous prime is 1133131429. The next prime is 1133131457. The reversal of 1133131441 is 1441313311.

It can be written as a sum of positive squares in 4 ways, for example, as 74995600 + 1058135841 = 8660^2 + 32529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1133131441 - 213 = 1133123249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133131411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290560 + ... + 294433.

It is an arithmetic number, because the mean of its divisors is an integer number (153560925).

Almost surely, 21133131441 is an apocalyptic number.

It is an amenable number.

1133131441 is a deficient number, since it is larger than the sum of its proper divisors (95355959).

1133131441 is a wasteful number, since it uses less digits than its factorization.

1133131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585155.

The product of its digits is 432, while the sum is 22.

The square root of 1133131441 is about 33662.0177796875. The cubic root of 1133131441 is about 1042.5416878782.

Adding to 1133131441 its reverse (1441313311), we get a palindrome (2574444752).

The spelling of 1133131441 in words is "one billion, one hundred thirty-three million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 13 149 1937 584993 7604909 87163957 1133131441