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130030101344 = 251113107265567
BaseRepresentation
bin111100100011001100…
…1011110001101100000
3110102122000120112220102
41321012121132031200
54112300201220334
6135422432201532
712252160424243
oct1710631361540
9412560515812
10130030101344
1150166669780
122124a9992a8
13c3531b3990
1464174a325a
1535b080c67e
hex1e4665e360

130030101344 has 96 divisors (see below), whose sum is σ = 303563344896. Its totient is φ = 54047992320.

The previous prime is 130030101343. The next prime is 130030101391. The reversal of 130030101344 is 443101030031.

130030101344 is digitally balanced in base 3, 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 (130030101343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356849 + ... + 622415.

It is an arithmetic number, because the mean of its divisors is an integer number (3162118176).

Almost surely, 2130030101344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130030101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151781672448).

130030101344 is an abundant number, since it is smaller than the sum of its proper divisors (173533243552).

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

130030101344 is a wasteful number, since it uses less digits than its factorization.

130030101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265708 (or 265700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130030101344 its reverse (443101030031), we get a palindrome (573131131375).

The spelling of 130030101344 in words is "one hundred thirty billion, thirty million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 107 143 176 208 214 286 352 416 428 572 856 1144 1177 1391 1712 2288 2354 2782 3424 4576 4708 5564 9416 11128 15301 18832 22256 30602 37664 44512 61204 122408 244816 265567 489632 531134 1062268 2124536 2921237 3452371 4249072 5842474 6904742 8498144 11684948 13809484 23369896 27618968 28415669 37976081 46739792 55237936 56831338 75952162 93479584 110475872 113662676 151904324 227325352 303808648 312572359 369403697 454650704 607617296 625144718 738807394 909301408 1215234592 1250289436 1477614788 2500578872 2955229576 4063440667 5001157744 5910459152 8126881334 10002315488 11820918304 16253762668 32507525336 65015050672 130030101344