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130320021200 = 24521719164709
BaseRepresentation
bin111100101011110101…
…1011011011011010000
3110110101020010000011212
41321113223123123100
54113343411134300
6135511310155252
712262310621525
oct1712753333320
9413336100155
10130320021200
11502a5288866
122130bab2b28
13c39b2925a5
146443bb114c
1535caec9935
hex1e57adb6d0

130320021200 has 60 divisors (see below), whose sum is σ = 331511153580. Its totient is φ = 49061652480.

The previous prime is 130320021187. The next prime is 130320021211. The reversal of 130320021200 is 2120023031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4873715344 + 125446305856 = 69812^2 + 354184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9575555 + ... + 9589154.

It is an arithmetic number, because the mean of its divisors is an integer number (5525185893).

Almost surely, 2130320021200 is an apocalyptic number.

130320021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130320021200 is an abundant number, since it is smaller than the sum of its proper divisors (201191132380).

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

130320021200 is a wasteful number, since it uses less digits than its factorization.

130320021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19164744 (or 19164733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130320021200 its reverse (2120023031), we get a palindrome (132440044231).

The spelling of 130320021200 in words is "one hundred thirty billion, three hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 19164709 38329418 76658836 95823545 153317672 191647090 306635344 325800053 383294180 479117725 651600106 766588360 958235450 1303200212 1533176720 1629000265 1916470900 2606400424 3258000530 3832941800 5212800848 6516001060 7665883600 8145001325 13032002120 16290002650 26064004240 32580005300 65160010600 130320021200