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1290048001 = 11832775101
BaseRepresentation
bin100110011100100…
…1001001000000001
310022220110020011121
41030321021020001
510120223014001
6332002112241
743653140614
oct11471111001
93286406147
101290048001
11602220180
1230004b681
13177362218
14c349017b
15783c66a1
hex4ce49201

1290048001 has 16 divisors (see below), whose sum is σ = 1429702848. Its totient is φ = 1154232000.

The previous prime is 1290047933. The next prime is 1290048017. The reversal of 1290048001 is 1008400921.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1290048001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290048041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250351 + ... + 255451.

It is an arithmetic number, because the mean of its divisors is an integer number (89356428).

Almost surely, 21290048001 is an apocalyptic number.

1290048001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1290048001 is a deficient number, since it is larger than the sum of its proper divisors (139654847).

1290048001 is a wasteful number, since it uses less digits than its factorization.

1290048001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1290048001 is about 35917.2382150967. The cubic root of 1290048001 is about 1088.6007354239.

Adding to 1290048001 its reverse (1008400921), we get a palindrome (2298448922).

The spelling of 1290048001 in words is "one billion, two hundred ninety million, forty-eight thousand, one".

Divisors: 1 11 83 277 913 3047 5101 22991 56111 252901 423383 1412977 4657213 15542747 117277091 1290048001