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131003301101022 = 23274214391562427
BaseRepresentation
bin11101110010010110010101…
…001110011111110111011110
3122011211210102022001000112200
4131302112111032133313132
5114132324230040213042
61142342030302312330
736410450632306650
oct3562262516376736
9564753368030480
10131003301101022
113881820824a189
12128393985886a6
13581373472a22c
14244c844bca6d0
151022a6aa2dc4c
hex77259539fdde

131003301101022 has 96 divisors (see below), whose sum is σ = 325234276683264. Its totient is φ = 37332038116800.

The previous prime is 131003301100999. The next prime is 131003301101047. The reversal of 131003301101022 is 220101103300131.

131003301101022 is a `hidden beast` number, since 1 + 310 + 0 + 330 + 1 + 1 + 0 + 1 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131003301100986 and 131003301101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232643773 + ... + 233206199.

It is an arithmetic number, because the mean of its divisors is an integer number (3387857048784).

Almost surely, 2131003301101022 is an apocalyptic number.

131003301101022 is an abundant number, since it is smaller than the sum of its proper divisors (194230975582242).

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

131003301101022 is a wasteful number, since it uses less digits than its factorization.

131003301101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567254 (or 567251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131003301101022 its reverse (220101103300131), we get a palindrome (351104404401153).

The spelling of 131003301101022 in words is "one hundred thirty-one trillion, three billion, three hundred one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 421 842 1263 2526 2947 3789 4391 5894 7578 8782 8841 13173 17682 26346 26523 30737 39519 53046 61474 79038 92211 184422 276633 553266 562427 1124854 1687281 1848611 3374562 3697222 3936989 5061843 5545833 7873978 10123686 11091666 11810967 12940277 16637499 23621934 25880554 33274998 35432901 38820831 70865802 77641662 116462493 232924986 236781767 473563534 710345301 1420690602 1657472369 2131035903 2469616957 3314944738 4262071806 4939233914 4972417107 7408850871 9944834214 14817701742 14917251321 17287318699 22226552613 29834502642 34574637398 44453105226 51861956097 103723912194 155585868291 311171736582 1039708738897 2079417477794 3119126216691 6238252433382 7277961172279 9357378650073 14555922344558 18714757300146 21833883516837 43667767033674 65501650550511 131003301101022