Search a number
-
+
131011302210110 = 25717143976506971
BaseRepresentation
bin11101110010011101110010…
…001000010011101000111110
3122011212120001220112110211022
4131302131302020103220332
5114132442121331210420
61142345432242024142
736411153125516420
oct3562356210235076
9564776056473738
10131011302210110
1138820643704933
121283aa50048052
13581440b26b0ca
14244cda36a2810
151022d88197c25
hex772772213a3e

131011302210110 has 64 divisors (see below), whose sum is σ = 285560742850560. Its totient is φ = 42246536778240.

The previous prime is 131011302210109. The next prime is 131011302210133. The reversal of 131011302210110 is 11012203110131.

It is a super-2 number, since 2×1310113022101102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36541076 + ... + 39965895.

It is an arithmetic number, because the mean of its divisors is an integer number (4461886607040).

Almost surely, 2131011302210110 is an apocalyptic number.

131011302210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131011302210110 is an abundant number, since it is smaller than the sum of its proper divisors (154549440640450).

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

131011302210110 is a wasteful number, since it uses less digits than its factorization.

131011302210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76508441.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131011302210110 its reverse (11012203110131), we get a palindrome (142023505320241).

The spelling of 131011302210110 in words is "one hundred thirty-one trillion, eleven billion, three hundred two million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1190 1439 2878 7195 10073 14390 20146 24463 48926 50365 100730 122315 171241 244630 342482 856205 1712410 76506971 153013942 382534855 535548797 765069710 1071097594 1300618507 2601237014 2677743985 5355487970 6503092535 9104329549 13006185070 18208659098 45521647745 91043295490 110093531269 220187062538 550467656345 770654718883 1100935312690 1541309437766 1871590031573 3743180063146 3853273594415 7706547188830 9357950157865 13101130221011 18715900315730 26202260442022 65505651105055 131011302210110