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130124414320 = 2454726112071
BaseRepresentation
bin111100100110000000…
…1001111110101110000
3110102212121001010222121
41321030001033311300
54112443322224240
6135440041444024
712254414162215
oct1711401176560
9412777033877
10130124414320
115020492648a
12212764a0614
13c3698b5a84
146425c13b0c
1535b8c3c04a
hex1e4c04fd70

130124414320 has 120 divisors (see below), whose sum is σ = 314206684128. Its totient is φ = 50103052800.

The previous prime is 130124414317. The next prime is 130124414351. The reversal of 130124414320 is 23414421031.

It is a super-3 number, since 3×1301244143203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10773885 + ... + 10785955.

Almost surely, 2130124414320 is an apocalyptic number.

130124414320 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 130124414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157103342064).

130124414320 is an abundant number, since it is smaller than the sum of its proper divisors (184082269808).

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

130124414320 is a wasteful number, since it uses less digits than its factorization.

130124414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 130124414320 its reverse (23414421031), we get a palindrome (153538835351).

The spelling of 130124414320 in words is "one hundred thirty billion, one hundred twenty-four million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 61 80 94 122 188 235 244 305 376 470 488 610 752 940 976 1220 1880 2209 2440 2867 3760 4418 4880 5734 8836 11045 11468 12071 14335 17672 22090 22936 24142 28670 35344 44180 45872 48284 57340 60355 88360 96568 114680 120710 134749 176720 193136 229360 241420 269498 482840 538996 567337 673745 736331 965680 1077992 1134674 1347490 1472662 2155984 2269348 2694980 2836685 2945324 3681655 4538696 5389960 5673370 5890648 7363310 9077392 10779920 11346740 11781296 14726620 22693480 26664839 29453240 34607557 45386960 53329678 58906480 69215114 106659356 133324195 138430228 173037785 213318712 266648390 276860456 346075570 426637424 533296780 553720912 692151140 1066593560 1384302280 1626555179 2133187120 2768604560 3253110358 6506220716 8132775895 13012441432 16265551790 26024882864 32531103580 65062207160 130124414320