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1331301132 = 2232747112403
BaseRepresentation
bin100111101011010…
…0000101100001100
310102210002002211100
41033112200230030
510211303114012
6340034223100
744663605260
oct11726405414
93383062740
101331301132
11623537277
12311a24a90
13182a77265
14c8b4c0a0
157bd248dc
hex4f5a0b0c

1331301132 has 72 divisors (see below), whose sum is σ = 3927845376. Its totient is φ = 372275424.

The previous prime is 1331301131. The next prime is 1331301151. The reversal of 1331301132 is 2311031331.

It is a happy number.

1331301132 is a `hidden beast` number, since 1 + 331 + 301 + 1 + 32 = 666.

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 (1331301131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44358 + ... + 68045.

It is an arithmetic number, because the mean of its divisors is an integer number (54553408).

Almost surely, 21331301132 is an apocalyptic number.

1331301132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331301132 is an abundant number, since it is smaller than the sum of its proper divisors (2596544244).

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

1331301132 is a wasteful number, since it uses less digits than its factorization.

1331301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112467 (or 112462 counting only the distinct ones).

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

The square root of 1331301132 is about 36486.9994929701. Note that the first 3 decimals coincide. The cubic root of 1331301132 is about 1100.0829502185.

Adding to 1331301132 its reverse (2311031331), we get a palindrome (3642332463).

The spelling of 1331301132 in words is "one billion, three hundred thirty-one million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 112403 224806 337209 449612 674418 786821 1011627 1348836 1573642 2023254 2360463 3147284 4046508 4720926 5282941 7081389 9441852 10565882 14162778 15848823 21131764 28325556 31697646 36980587 47546469 63395292 73961174 95092938 110941761 147922348 190185876 221883522 332825283 443767044 665650566 1331301132