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131003312012430 = 235111337825321691
BaseRepresentation
bin11101110010010110010101…
…111000000111110010001110
3122011211210110001120101011220
4131302112111320013302032
5114132324240333344210
61142342031332224210
736410451124123434
oct3562262570076216
9564753401511156
10131003312012430
1138818213422080
12128393a016b066
135813736a7a8a0
14244c84642ad54
151022a6b986c70
hex772595e07c8e

131003312012430 has 128 divisors (see below), whose sum is σ = 379357465084416. Its totient is φ = 28523117606400.

The previous prime is 131003312012401. The next prime is 131003312012437. The reversal of 131003312012430 is 34210213300131.

It is a super-3 number, since 3×1310033120124303 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131003312012430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003312012437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412502116 + ... + 412819575.

It is an arithmetic number, because the mean of its divisors is an integer number (2963730195972).

Almost surely, 2131003312012430 is an apocalyptic number.

131003312012430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131003312012430 is an abundant number, since it is smaller than the sum of its proper divisors (248354153071986).

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

131003312012430 is a wasteful number, since it uses less digits than its factorization.

131003312012430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825321762.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131003312012430 its reverse (34210213300131), we get a palindrome (165213525312561).

The spelling of 131003312012430 in words is "one hundred thirty-one trillion, three billion, three hundred twelve million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 37 39 55 65 66 74 78 110 111 130 143 165 185 195 222 286 330 370 390 407 429 481 555 715 814 858 962 1110 1221 1430 1443 2035 2145 2405 2442 2886 4070 4290 4810 5291 6105 7215 10582 12210 14430 15873 26455 31746 52910 79365 158730 825321691 1650643382 2475965073 4126608455 4951930146 8253216910 9078538601 10729181983 12379825365 18157077202 21458363966 24759650730 27235615803 30536902567 32187545949 45392693005 53645909915 54471231606 61073805134 64375091898 90785386010 91610707701 107291819830 118021001813 136178079015 152684512835 160937729745 183221415402 236042003626 272356158030 305369025670 321875459490 335905928237 354063005439 396979733371 458053538505 590105009065 671811856474 708126010878 793959466742 916107077010 1007717784711 1180210018130 1190939200113 1679529641185 1770315027195 1984898666855 2015435569422 2381878400226 3359059282370 3540630054390 3969797333710 4366777067081 5038588923555 5954696000565 8733554134162 10077177847110 11909392001130 13100331201243 21833885335405 26200662402486 43667770670810 65501656006215 131003312012430