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130434444332200 = 235216071105936697
BaseRepresentation
bin11101101010000100100010…
…101110001000110010101000
3122002211102002200200000210001
4131222010202232020302220
5114044014220222112300
61141224431223432344
736321402060460201
oct3552044256106250
9562742080600701
10130434444332200
1138618a34452178
121276709b5b56b4
1357a1bb8c70c88
14242d0bcb445a8
151012d74d6016a
hex76a122b88ca8

130434444332200 has 96 divisors (see below), whose sum is σ = 303484503873600. Its totient is φ = 52135175600640.

The previous prime is 130434444332197. The next prime is 130434444332221. The reversal of 130434444332200 is 2233444434031.

It is a self number, because there is not a number n which added to its sum of digits gives 130434444332200.

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, 3554344252 + ... + 3554380948.

It is an arithmetic number, because the mean of its divisors is an integer number (3161296915350).

Almost surely, 2130434444332200 is an apocalyptic number.

130434444332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434444332200 is an abundant number, since it is smaller than the sum of its proper divisors (173050059541400).

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

130434444332200 is a wasteful number, since it uses less digits than its factorization.

130434444332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49379 (or 49370 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 130434444332200 its reverse (2233444434031), we get a palindrome (132667888766231).

The spelling of 130434444332200 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1607 3214 6428 8035 11059 12856 16070 22118 32140 36697 40175 44236 55295 64280 73394 80350 88472 110590 146788 160700 183485 221180 276475 293576 321400 366970 442360 552950 733940 917425 1105900 1467880 1834850 2211800 3669700 7339400 17771813 35543626 58972079 71087252 88859065 117944158 142174504 177718130 235888316 294860395 355436260 405832123 444295325 471776632 589720790 710872520 811664246 888590650 1179441580 1474301975 1623328492 1777181300 2029160615 2358883160 2948603950 3246656984 3554362600 4058321230 5897207900 8116642460 10145803075 11794415800 16233284920 20291606150 40583212300 81166424600 652172221661 1304344443322 2608688886644 3260861108305 5217377773288 6521722216610 13043444433220 16304305541525 26086888866440 32608611083050 65217222166100 130434444332200