Search a number
-
+
131300112332301 = 311231011712781439
BaseRepresentation
bin11101110110101010110000…
…100011011111011000001101
3122012220011112120201210221120
4131312222300203133120031
5114202210112224113201
61143130234445151153
736441056120200443
oct3566526043373015
9565804476653846
10131300112332301
1138922079474330
1212886a11b5b4b9
135835716a20433
14245cd60628b93
15102a63d2ac536
hex776ab08df60d

131300112332301 has 32 divisors (see below), whose sum is σ = 201258670325760. Its totient is φ = 75362383272000.

The previous prime is 131300112332261. The next prime is 131300112332317. The reversal of 131300112332301 is 103233211003131.

It is not a de Polignac number, because 131300112332301 - 218 = 131300112070157 is a prime.

It is a super-2 number, since 2×1313001123323012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300112332351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856314061 + ... + 856467378.

It is an arithmetic number, because the mean of its divisors is an integer number (6289333447680).

Almost surely, 2131300112332301 is an apocalyptic number.

131300112332301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131300112332301 is a deficient number, since it is larger than the sum of its proper divisors (69958557993459).

131300112332301 is a wasteful number, since it uses less digits than its factorization.

131300112332301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712781577.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131300112332301 its reverse (103233211003131), we get a palindrome (234533323335432).

The spelling of 131300112332301 in words is "one hundred thirty-one trillion, three hundred billion, one hundred twelve million, three hundred thirty-two thousand, three hundred one".

Divisors: 1 3 11 23 33 69 101 253 303 759 1111 2323 3333 6969 25553 76659 1712781439 5138344317 18840595829 39393973097 56521787487 118181919291 172990925339 433333704067 518972776017 1300001112201 1902900178729 3978791282797 5708700536187 11936373848391 43766704110767 131300112332301