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130432434003100 = 225224126320578457
BaseRepresentation
bin11101101010000010101010…
…111001010101110010011100
3122002211012220120212201200201
4131222002222321111302130
5114044001111101044400
61141223455531233244
736321301210115335
oct3552025271256234
9562735816781621
10130432434003100
11386180a26a0169
121276681a2a8824
1357a195861b328
14242cd6bb5b28c
151012ca860c06a
hex76a0aae55c9c

130432434003100 has 72 divisors (see below), whose sum is σ = 285293485860768. Its totient is φ = 51758932531200.

The previous prime is 130432434003049. The next prime is 130432434003107. The reversal of 130432434003100 is 1300434234031.

It is a super-2 number, since 2×1304324340031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130432434003107) 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, 3950929 + ... + 16627528.

It is an arithmetic number, because the mean of its divisors is an integer number (3962409525844).

Almost surely, 2130432434003100 is an apocalyptic number.

130432434003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130432434003100 is an abundant number, since it is smaller than the sum of its proper divisors (154861051857668).

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

130432434003100 is a wasteful number, since it uses less digits than its factorization.

130432434003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578975 (or 20578968 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 130432434003100 its reverse (1300434234031), we get a palindrome (131732868237131).

The spelling of 130432434003100 in words is "one hundred thirty trillion, four hundred thirty-two billion, four hundred thirty-four million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 263 482 526 964 1052 1205 1315 2410 2630 4820 5260 6025 6575 12050 13150 24100 26300 63383 126766 253532 316915 633830 1267660 1584575 3169150 6338300 20578457 41156914 82313828 102892285 205784570 411569140 514461425 1028922850 2057845700 4959408137 5412134191 9918816274 10824268382 19837632548 21648536764 24797040685 27060670955 49594081370 54121341910 99188162740 108242683820 123985203425 135303354775 247970406850 270606709550 495940813700 541213419100 1304324340031 2608648680062 5217297360124 6521621700155 13043243400310 26086486800620 32608108500775 65216217001550 130432434003100