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130434303431300 = 225211234175063699
BaseRepresentation
bin11101101010000100011010…
…010100101001001010000100
3122002211101201212112112002012
4131222010122110221022010
5114044013423134300200
61141224405231433352
736321365430025331
oct3552043224511204
9562741655475065
10130434303431300
1138618971965250
1212767060385858
1357a1b95a0986b
14242d0a8147988
151012d677cba35
hex76a11a529284

130434303431300 has 72 divisors (see below), whose sum is σ = 308786816066400. Its totient is φ = 47428620947200.

The previous prime is 130434303431297. The next prime is 130434303431303. The reversal of 130434303431300 is 3134303434031.

It is an interprime number because it is at equal distance from previous prime (130434303431297) and next prime (130434303431303).

It is not an unprimeable number, because it can be changed into a prime (130434303431303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23226851 + ... + 28290549.

It is an arithmetic number, because the mean of its divisors is an integer number (4288705778700).

Almost surely, 2130434303431300 is an apocalyptic number.

130434303431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434303431300 is an abundant number, since it is smaller than the sum of its proper divisors (178352512635100).

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

130434303431300 is a wasteful number, since it uses less digits than its factorization.

130434303431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087141 (or 5087134 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 130434303431300 its reverse (3134303434031), we get a palindrome (133568606865331).

The spelling of 130434303431300 in words is "one hundred thirty trillion, four hundred thirty-four billion, three hundred three million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 23417 46834 93668 117085 234170 257587 468340 515174 585425 1030348 1170850 1287935 2341700 2575870 5063699 5151740 6439675 10127398 12879350 20254796 25318495 25758700 50636990 55700689 101273980 111401378 126592475 222802756 253184950 278503445 506369900 557006890 1114013780 1392517225 2785034450 5570068900 118576639483 237153278966 474306557932 592883197415 1185766394830 1304343034313 2371532789660 2608686068626 2964415987075 5217372137252 5928831974150 6521715171565 11857663948300 13043430343130 26086860686260 32608575857825 65217151715650 130434303431300