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132130300300000 = 25551399505777
BaseRepresentation
bin11110000010101111111011…
…100111010000101011100000
3122022211112101210212012111221
4132002233323213100223200
5114304310323334100000
61145003453314344424
736555046005403222
oct3602577347205340
9568745353765457
10132130300300000
1139112166986a62
121299b8a228b114
135895aabc95592
14248b1d7d68412
15104202b95761a
hex782bfb9d0ae0

132130300300000 has 144 divisors (see below), whose sum is σ = 327482797415760. Its totient is φ = 52471883520000.

The previous prime is 132130300299983. The next prime is 132130300300007. The reversal of 132130300300000 is 3003031231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130300300007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9147112 + ... + 18652888.

It is an arithmetic number, because the mean of its divisors is an integer number (2274186093165).

Almost surely, 2132130300300000 is an apocalyptic number.

132130300300000 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 132130300300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163741398707880).

132130300300000 is an abundant number, since it is smaller than the sum of its proper divisors (195352497115760).

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

132130300300000 is an frugal number, since it uses more digits than its factorization.

132130300300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505951 (or 9505923 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 132130300300000 its reverse (3003031231), we get a palindrome (132133303331231).

The spelling of 132130300300000 in words is "one hundred thirty-two trillion, one hundred thirty billion, three hundred million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 139 160 200 250 278 400 500 556 625 695 800 1000 1112 1250 1390 2000 2224 2500 2780 3125 3475 4000 4448 5000 5560 6250 6950 10000 11120 12500 13900 17375 20000 22240 25000 27800 34750 50000 55600 69500 86875 100000 111200 139000 173750 278000 347500 434375 556000 695000 868750 1390000 1737500 2780000 3475000 6950000 9505777 13900000 19011554 38023108 47528885 76046216 95057770 152092432 190115540 237644425 304184864 380231080 475288850 760462160 950577700 1188222125 1321303003 1520924320 1901155400 2376444250 2642606006 3802310800 4752888500 5285212012 5941110625 6606515015 7604621600 9505777000 10570424024 11882221250 13213030030 19011554000 21140848048 23764442500 26426060060 29705553125 33032575075 38023108000 42281696096 47528885000 52852120120 59411106250 66065150150 95057770000 105704240240 118822212500 132130300300 165162875375 190115540000 211408480480 237644425000 264260600600 330325750750 475288850000 528521201200 660651501500 825814376875 950577700000 1057042402400 1321303003000 1651628753750 2642606006000 3303257507500 4129071884375 5285212012000 6606515015000 8258143768750 13213030030000 16516287537500 26426060060000 33032575075000 66065150150000 132130300300000