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130414321011100 = 225271011844615573
BaseRepresentation
bin11101101001110001110011…
…010001110000100110011100
3122002202111011021002101210011
4131221301303101300212130
5114043202012134323400
61141211302331053004
736320060310200440
oct3551616321604634
9562674137071704
10130414321011100
1138610448353195
12127632042a1164
1357a002cb78899
14242c13031a820
1510125983848ba
hex769c7347099c

130414321011100 has 72 divisors (see below), whose sum is σ = 326629768919328. Its totient is φ = 44270773728000.

The previous prime is 130414321011017. The next prime is 130414321011113. The reversal of 130414321011100 is 1110123414031.

It is a congruent number.

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, 922237087 + ... + 922378486.

It is an arithmetic number, because the mean of its divisors is an integer number (4536524568324).

Almost surely, 2130414321011100 is an apocalyptic number.

130414321011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130414321011100 is an abundant number, since it is smaller than the sum of its proper divisors (196215447908228).

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

130414321011100 is a wasteful number, since it uses less digits than its factorization.

130414321011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844615695 (or 1844615688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 130414321011100 its reverse (1110123414031), we get a palindrome (131524444425131).

The spelling of 130414321011100 in words is "one hundred thirty trillion, four hundred fourteen billion, three hundred twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 1844615573 3689231146 7378462292 9223077865 12912309011 18446155730 25824618022 36892311460 46115389325 51649236044 64561545055 92230778650 129123090110 184461557300 186306172873 258246180220 322807725275 372612345746 645615450550 745224691492 931530864365 1291230901100 1304143210111 1863061728730 2608286420222 3726123457460 4657654321825 5216572840444 6520716050555 9315308643650 13041432101110 18630617287300 26082864202220 32603580252775 65207160505550 130414321011100