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130121141024 = 2571096478237
BaseRepresentation
bin111100100101111010…
…0110000101100100000
3110102212100212211212102
41321023310300230200
54112442003003044
6135435443345532
712254344310120
oct1711364605440
9412770784772
10130121141024
1150202aa0186
12212753822a8
13c36900ac04
146425600c80
1535b87e224e
hex1e4bd30b20

130121141024 has 96 divisors (see below), whose sum is σ = 295951138560. Its totient is φ = 55162487808.

The previous prime is 130121141011. The next prime is 130121141069. The reversal of 130121141024 is 420141121031.

It is a super-2 number, since 2×1301211410242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130121140987 and 130121141005.

It is an unprimeable number.

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, 15793034 + ... + 15801270.

It is an arithmetic number, because the mean of its divisors is an integer number (3082824360).

Almost surely, 2130121141024 is an apocalyptic number.

130121141024 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 130121141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147975569280).

130121141024 is an abundant number, since it is smaller than the sum of its proper divisors (165829997536).

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

130121141024 is a wasteful number, since it uses less digits than its factorization.

130121141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 130121141024 its reverse (420141121031), we get a palindrome (550262262055).

The spelling of 130121141024 in words is "one hundred thirty billion, one hundred twenty-one million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 647 763 872 1294 1526 1744 2588 3052 3488 4529 5176 6104 8237 9058 10352 12208 16474 18116 20704 24416 32948 36232 57659 65896 70523 72464 115318 131792 141046 144928 230636 263584 282092 461272 493661 564184 897833 922544 987322 1128368 1795666 1845088 1974644 2256736 3591332 3949288 5329339 6284831 7182664 7898576 10658678 12569662 14365328 15797152 21317356 25139324 28730656 37305373 42634712 50278648 74610746 85269424 100557296 149221492 170538848 201114592 298442984 580897951 596885968 1161795902 1193771936 2323591804 4066285657 4647183608 8132571314 9294367216 16265142628 18588734432 32530285256 65060570512 130121141024