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130311430000 = 245413739491
BaseRepresentation
bin111100101011100101…
…0101001111101110000
3110110100121221112021021
41321113022221331300
54113334211230000
6135510402105224
712262144610353
oct1712712517560
9413317845237
10130311430000
11502a04500a4
122130904b214
13c39957503b
1464429b629a
1535ca37e11a
hex1e572a9f70

130311430000 has 100 divisors (see below), whose sum is σ = 315760055688. Its totient is φ = 52081120000.

The previous prime is 130311429979. The next prime is 130311430009. The reversal of 130311430000 is 34113031.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311430009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13725255 + ... + 13734745.

Almost surely, 2130311430000 is an apocalyptic number.

130311430000 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 130311430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157880027844).

130311430000 is an abundant number, since it is smaller than the sum of its proper divisors (185448625688).

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

130311430000 is an equidigital number, since it uses as much as digits as its factorization.

130311430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10892 (or 10871 counting only the distinct ones).

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

Adding to 130311430000 its reverse (34113031), we get a palindrome (130345543031).

The spelling of 130311430000 in words is "one hundred thirty billion, three hundred eleven million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1373 2000 2500 2746 5000 5492 6865 9491 10000 10984 13730 18982 21968 27460 34325 37964 47455 54920 68650 75928 94910 109840 137300 151856 171625 189820 237275 274600 343250 379640 474550 549200 686500 759280 858125 949100 1186375 1373000 1716250 1898200 2372750 2746000 3432500 3796400 4745500 5931875 6865000 9491000 11863750 13031143 13730000 18982000 23727500 26062286 47455000 52124572 65155715 94910000 104249144 130311430 208498288 260622860 325778575 521245720 651557150 1042491440 1303114300 1628892875 2606228600 3257785750 5212457200 6515571500 8144464375 13031143000 16288928750 26062286000 32577857500 65155715000 130311430000