Search a number
-
+
130697120000 = 2854816857
BaseRepresentation
bin111100110111000100…
…1111100100100000000
3110111100111200121111002
41321232021330210000
54120131430320000
6140012540511132
712304540122116
oct1715611744400
9414314617432
10130697120000
1150479131767
12213b624b4a8
13c42b446085
14647bcd3ab6
1535ee1678d5
hex1e6e27c900

130697120000 has 90 divisors (see below), whose sum is σ = 326000676078. Its totient is φ = 52278784000.

The previous prime is 130697119967. The next prime is 130697120027. The reversal of 130697120000 is 21796031.

It can be written as a sum of positive squares in 5 ways, for example, as 83423924224 + 47273195776 = 288832^2 + 217424^2 .

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 9 ways as a sum of consecutive naturals, for example, 248429 + ... + 568428.

Almost surely, 2130697120000 is an apocalyptic number.

130697120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130697120000 is an abundant number, since it is smaller than the sum of its proper divisors (195303556078).

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

130697120000 is an frugal number, since it uses more digits than its factorization.

130697120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816893 (or 816864 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 130697120000 in words is "one hundred thirty billion, six hundred ninety-seven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 816857 1633714 3267428 4084285 6534856 8168570 13069712 16337140 20421425 26139424 32674280 40842850 52278848 65348560 81685700 102107125 104557696 130697120 163371400 204214250 209115392 261394240 326742800 408428500 510535625 522788480 653485600 816857000 1021071250 1045576960 1306971200 1633714000 2042142500 2613942400 3267428000 4084285000 5227884800 6534856000 8168570000 13069712000 16337140000 26139424000 32674280000 65348560000 130697120000