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131011430141130 = 235711239237300857
BaseRepresentation
bin11101110010011101111001…
…110000010100110011001010
3122011212120101211021001012020
4131302131321300110303022
5114132442402104004010
61142345453052025310
736411156241102230
oct3562357160246312
9564776354231166
10131011430141130
11388206a9943350
121283aa86a62236
13581442b910c36
14244cdb6684950
151022d94518470
hex772779c14cca

131011430141130 has 128 divisors (see below), whose sum is σ = 393653647319040. Its totient is φ = 27109249789440.

The previous prime is 131011430141093. The next prime is 131011430141201. The reversal of 131011430141130 is 31141034110131.

It is a self number, because there is not a number n which added to its sum of digits gives 131011430141130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118098339 + ... + 119202518.

It is an arithmetic number, because the mean of its divisors is an integer number (3075419119680).

Almost surely, 2131011430141130 is an apocalyptic number.

131011430141130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131011430141130 is an abundant number, since it is smaller than the sum of its proper divisors (262642217177910).

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

131011430141130 is a wasteful number, since it uses less digits than its factorization.

131011430141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237301124.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131011430141130 its reverse (31141034110131), we get a palindrome (162152464251261).

The spelling of 131011430141130 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 239 330 385 462 478 717 770 1155 1195 1434 1673 2310 2390 2629 3346 3585 5019 5258 7170 7887 8365 10038 13145 15774 16730 18403 25095 26290 36806 39435 50190 55209 78870 92015 110418 184030 276045 552090 237300857 474601714 711902571 1186504285 1423805142 1661105999 2373008570 2610309427 3322211998 3559512855 4983317997 5220618854 7119025710 7830928281 8305529995 9966635994 13051547135 15661856562 16611059990 18272165989 24916589985 26103094270 36544331978 39154641405 49833179970 54816497967 56714904823 78309282810 91360829945 109632995934 113429809646 170144714469 182721659890 274082489835 283574524115 340289428938 397004333761 548164979670 567149048230 623863953053 794008667522 850723572345 1191013001283 1247727906106 1701447144690 1871591859159 1985021668805 2382026002566 3119319765265 3743183718318 3970043337610 4367047671371 5955065006415 6238639530530 8734095342742 9357959295795 11910130012830 13101143014113 18715918591590 21835238356855 26202286028226 43670476713710 65505715070565 131011430141130