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130047133200 = 24352347312313
BaseRepresentation
bin111100100011101101…
…0011100011000010000
3110102200012121212012220
41321013122130120100
54112314031230300
6135424241221040
712252455251635
oct1710732343020
9412605555186
10130047133200
1150175241a96
1221254631780
13c3568980ba
14641985818c
1535b2073da0
hex1e4769c610

130047133200 has 120 divisors (see below), whose sum is σ = 417786185568. Its totient is φ = 34579184640.

The previous prime is 130047133193. The next prime is 130047133219. The reversal of 130047133200 is 2331740031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 260244 + ... + 572556.

Almost surely, 2130047133200 is an apocalyptic number.

130047133200 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 130047133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208893092784).

130047133200 is an abundant number, since it is smaller than the sum of its proper divisors (287739052368).

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

130047133200 is a wasteful number, since it uses less digits than its factorization.

130047133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312681 (or 312670 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 130047133200 its reverse (2331740031), we get a palindrome (132378873231).

The spelling of 130047133200 in words is "one hundred thirty billion, forty-seven million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 347 400 600 694 1041 1200 1388 1735 2082 2776 3470 4164 5205 5552 6940 8328 8675 10410 13880 16656 17350 20820 26025 27760 34700 41640 52050 69400 83280 104100 138800 208200 312313 416400 624626 936939 1249252 1561565 1873878 2498504 3123130 3747756 4684695 4997008 6246260 7495512 7807825 9369390 12492520 14991024 15615650 18738780 23423475 24985040 31231300 37477560 46846950 62462600 74955120 93693900 108372611 124925200 187387800 216745222 325117833 374775600 433490444 541863055 650235666 866980888 1083726110 1300471332 1625589165 1733961776 2167452220 2600942664 2709315275 3251178330 4334904440 5201885328 5418630550 6502356660 8127945825 8669808880 10837261100 13004713320 16255891650 21674522200 26009426640 32511783300 43349044400 65023566600 130047133200