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13001311332 = 22323471040771
BaseRepresentation
bin11000001101111000…
…00100010001100100
31020120002021001021100
430012330010101210
5203111313430312
65550035120100
7640120215522
oct140674042144
936502231240
1013001311332
1155719a06a9
12262a143030
1312c2740839
148b49cb312
155116105dc
hex306f04464

13001311332 has 36 divisors (see below), whose sum is σ = 32959167696. Its totient is φ = 4321277040.

The previous prime is 13001311307. The next prime is 13001311373. The reversal of 13001311332 is 23311310031.

It is a happy number.

13001311332 is a `hidden beast` number, since 1 + 300 + 1 + 31 + 1 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130013113322 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 507894 + ... + 532877.

It is an arithmetic number, because the mean of its divisors is an integer number (915532436).

Almost surely, 213001311332 is an apocalyptic number.

13001311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001311332 is an abundant number, since it is smaller than the sum of its proper divisors (19957856364).

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

13001311332 is a wasteful number, since it uses less digits than its factorization.

13001311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041128 (or 1041123 counting only the distinct ones).

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

Adding to 13001311332 its reverse (23311310031), we get a palindrome (36312621363).

The spelling of 13001311332 in words is "thirteen billion, one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 347 694 1041 1388 2082 3123 4164 6246 12492 1040771 2081542 3122313 4163084 6244626 9366939 12489252 18733878 37467756 361147537 722295074 1083442611 1444590148 2166885222 3250327833 4333770444 6500655666 13001311332