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130131101140 = 22561233457789
BaseRepresentation
bin111100100110001101…
…0110000010111010100
3110102220001121212120121
41321030122300113110
54113002030214030
6135440441041324
712254525052265
oct1711432602724
9412801555517
10130131101140
1150208683387
1221278786244
13c36b0b7581
146426a7496c
1535b960d47a
hex1e4c6b05d4

130131101140 has 48 divisors (see below), whose sum is σ = 278947927440. Its totient is φ = 50979271680.

The previous prime is 130131101081. The next prime is 130131101183. The reversal of 130131101140 is 41101131031.

It can be written as a sum of positive squares in 8 ways, for example, as 64489586704 + 65641514436 = 253948^2 + 256206^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55366 + ... + 513154.

It is an arithmetic number, because the mean of its divisors is an integer number (5811415155).

Almost surely, 2130131101140 is an apocalyptic number.

130131101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130131101140 is an abundant number, since it is smaller than the sum of its proper divisors (148816826300).

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

130131101140 is a wasteful number, since it uses less digits than its factorization.

130131101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458092 (or 458090 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 130131101140 its reverse (41101131031), we get a palindrome (171232232171).

The spelling of 130131101140 in words is "one hundred thirty billion, one hundred thirty-one million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 233 244 305 466 610 932 1165 1220 2330 4660 14213 28426 56852 71065 142130 284260 457789 915578 1831156 2288945 4577890 9155780 27925129 55850258 106664837 111700516 139625645 213329674 279251290 426659348 533324185 558502580 1066648370 2133296740 6506555057 13013110114 26026220228 32532775285 65065550570 130131101140