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130430230112304 = 24325338234470289
BaseRepresentation
bin11101101010000000100111…
…100010001010100000110000
3122002211000012222212110212200
4131222000213202022200300
5114043432102402043204
61141222453122223200
736321162456262623
oct3552004742124060
9562730188773780
10130430230112304
1138617171653411
12127663041b4b00
1357a1696b56a35
14242cbdd189dba
151012bc9dc2539
hex76a02788a830

130430230112304 has 120 divisors (see below), whose sum is σ = 372008092547520. Its totient is φ = 42645260077056.

The previous prime is 130430230112279. The next prime is 130430230112309. The reversal of 130430230112304 is 403211032034031.

It is a happy number.

130430230112304 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 0 + 2 + 301 + 12 + 304 = 666.

It is a super-2 number, since 2×1304302301123042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130430230112309) 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, 26941992 + ... + 31412280.

It is an arithmetic number, because the mean of its divisors is an integer number (3100067437896).

Almost surely, 2130430230112304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130430230112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186004046273760).

130430230112304 is an abundant number, since it is smaller than the sum of its proper divisors (241577862435216).

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

130430230112304 is a wasteful number, since it uses less digits than its factorization.

130430230112304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474179 (or 4474170 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130430230112304 its reverse (403211032034031), we get a palindrome (533641262146335).

The spelling of 130430230112304 in words is "one hundred thirty trillion, four hundred thirty billion, two hundred thirty million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 3823 7632 7646 11469 15292 22938 30584 34407 45876 61168 68814 91752 137628 183504 202619 275256 405238 550512 607857 810476 1215714 1620952 1823571 2431428 3241904 3647142 4470289 4862856 7294284 8940578 9725712 13410867 14588568 17881156 26821734 29177136 35762312 40232601 53643468 71524624 80465202 107286936 160930404 214573872 236925317 321860808 473850634 643721616 710775951 947701268 1421551902 1895402536 2132327853 2843103804 3790805072 4264655706 5686207608 8529311412 11372415216 17058622824 17089914847 34117245648 34179829694 51269744541 68359659388 102539489082 136719318776 153809233623 205078978164 273438637552 307618467246 410157956328 615236934492 820315912656 905765486891 1230473868984 1811530973782 2460947737968 2717296460673 3623061947564 5434592921346 7246123895128 8151889382019 10869185842692 14492247790256 16303778764038 21738371685384 32607557528076 43476743370768 65215115056152 130430230112304