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13031143000 = 235313739491
BaseRepresentation
bin11000010001011011…
…10111011001011000
31020122011101122121221
430020231313121120
5203141433034000
65553022341424
7640631613361
oct141055673130
936564348557
1013031143000
115587816677
12263812a874
1312c8987005
148b8954b68
1551405461a
hex308b77658

13031143000 has 64 divisors (see below), whose sum is σ = 30518298720. Its totient is φ = 5208112000.

The previous prime is 13031142979. The next prime is 13031143007. The reversal of 13031143000 is 34113031.

13031143000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031143007) 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 15 ways as a sum of consecutive naturals, for example, 1368255 + ... + 1377745.

Almost surely, 213031143000 is an apocalyptic number.

13031143000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259149360).

13031143000 is an abundant number, since it is smaller than the sum of its proper divisors (17487155720).

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

13031143000 is a wasteful number, since it uses less digits than its factorization.

13031143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13031143000 its reverse (34113031), we get a palindrome (13065256031).

The spelling of 13031143000 in words is "thirteen billion, thirty-one million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1373 2746 5492 6865 9491 10984 13730 18982 27460 34325 37964 47455 54920 68650 75928 94910 137300 171625 189820 237275 274600 343250 379640 474550 686500 949100 1186375 1373000 1898200 2372750 4745500 9491000 13031143 26062286 52124572 65155715 104249144 130311430 260622860 325778575 521245720 651557150 1303114300 1628892875 2606228600 3257785750 6515571500 13031143000