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1337148131 = 11211050811
BaseRepresentation
bin100111110110011…
…0100001011100011
310110012002011101212
41033230310023203
510214302220011
6340403420335
745064400024
oct11754641343
93405064355
101337148131
11626870200
123139846ab
13184043717
14c9830c4b
157c5cc08b
hex4fb342e3

1337148131 has 6 divisors (see below), whose sum is σ = 1469757996. Its totient is φ = 1215589100.

The previous prime is 1337148103. The next prime is 1337148157. The reversal of 1337148131 is 1318417331.

It is a de Polignac number, because none of the positive numbers 2k-1337148131 is a prime.

It is a super-2 number, since 2×13371481312 = 3575930248473586322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1337148181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5525285 + ... + 5525526.

It is an arithmetic number, because the mean of its divisors is an integer number (244959666).

Almost surely, 21337148131 is an apocalyptic number.

1337148131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1337148131 is a deficient number, since it is larger than the sum of its proper divisors (132609865).

1337148131 is a wasteful number, since it uses less digits than its factorization.

1337148131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050833 (or 11050822 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 1337148131 is about 36567.0361254505. The cubic root of 1337148131 is about 1101.6910988356.

The spelling of 1337148131 in words is "one billion, three hundred thirty-seven million, one hundred forty-eight thousand, one hundred thirty-one".

Divisors: 1 11 121 11050811 121558921 1337148131