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1301131332 = 223236142537
BaseRepresentation
bin100110110001101…
…1011000001000100
310100200022022122100
41031203123001010
510131042200312
6333035432100
744146301544
oct11543330104
93320268570
101301131332
11608500256
123038b5630
13179742bc7
14c4b37324
15793655dc
hex4d8db044

1301131332 has 18 divisors (see below), whose sum is σ = 3288970958. Its totient is φ = 433710432.

The previous prime is 1301131331. The next prime is 1301131361. The reversal of 1301131332 is 2331311031.

It is a happy number.

1301131332 is a `hidden beast` number, since 1 + 301 + 1 + 31 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 771395076 + 529736256 = 27774^2 + 23016^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13011313322 = 3385885486224188448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1301131331) 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 5 ways as a sum of consecutive naturals, for example, 18071233 + ... + 18071304.

Almost surely, 21301131332 is an apocalyptic number.

1301131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1301131332 is an abundant number, since it is smaller than the sum of its proper divisors (1987839626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1301131332 is a wasteful number, since it uses less digits than its factorization.

1301131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36142547 (or 36142542 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1301131332 is about 36071.1980948790. The cubic root of 1301131332 is about 1091.7093881099.

Adding to 1301131332 its reverse (2331311031), we get a palindrome (3632442363).

The spelling of 1301131332 in words is "one billion, three hundred one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 36142537 72285074 108427611 144570148 216855222 325282833 433710444 650565666 1301131332