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130631124344 = 2374179838677
BaseRepresentation
bin111100110101000111…
…0001100010101111000
3110111011220111200110112
41321222032030111320
54120013031434334
6140002222203452
712303106144010
oct1715216142570
9414156450415
10130631124344
11504449561a6
1221398123588
13c41a87a0a6
146473234c40
1535e847d4ce
hex1e6a38c578

130631124344 has 128 divisors (see below), whose sum is σ = 293913446400. Its totient is φ = 53272028160.

The previous prime is 130631124343. The next prime is 130631124391. The reversal of 130631124344 is 443421136031.

It is a self number, because there is not a number n which added to its sum of digits gives 130631124344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130631124343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15050534 + ... + 15059210.

It is an arithmetic number, because the mean of its divisors is an integer number (2296198800).

Almost surely, 2130631124344 is an apocalyptic number.

130631124344 is a gapful number since it is divisible by the number (14) 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 130631124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146956723200).

130631124344 is an abundant number, since it is smaller than the sum of its proper divisors (163282322056).

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

130631124344 is a wasteful number, since it uses less digits than its factorization.

130631124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 130631124344 in words is "one hundred thirty billion, six hundred thirty-one million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 56 79 82 83 158 164 166 287 316 328 332 553 574 581 632 664 1106 1148 1162 2212 2296 2324 3239 3403 4424 4648 6478 6557 6806 8677 12956 13114 13612 17354 22673 23821 25912 26228 27224 34708 45346 45899 47642 52456 60739 69416 90692 91798 95284 121478 181384 183596 190568 242956 268837 355757 367192 485912 537674 685483 711514 720191 1075348 1370966 1423028 1440382 1881859 2150696 2490299 2741932 2846056 2880764 3763718 4798381 4980598 5041337 5483864 5761528 7527436 9596762 9961196 10082674 15054872 19193524 19922392 20165348 28104803 29527831 38387048 40330696 56209606 56895089 59055662 112419212 113790178 118111324 196733621 206694817 224838424 227580356 236222648 393467242 398265623 413389634 455160712 786934484 796531246 826779268 1573868968 1593062492 1653558536 2332698649 3186124984 4665397298 9330794596 16328890543 18661589192 32657781086 65315562172 130631124344