Search a number
-
+
131302440123114 = 23133745496340999
BaseRepresentation
bin11101110110101100111011…
…010011010011101011101010
3122012220101112210212211122010
4131312230323103103223222
5114202224344132414424
61143131301441540350
736441200604116541
oct3566547323235352
9565811483784563
10131302440123114
1138923063446a97
12128873616446b6
1358359c8075b50
14245d10184d158
15102a72781d229
hex776b3b4d3aea

131302440123114 has 32 divisors (see below), whose sum is σ = 290448640944000. Its totient is φ = 39308838622272.

The previous prime is 131302440123097. The next prime is 131302440123119. The reversal of 131302440123114 is 411321044203131.

It is a super-2 number, since 2×1313024401231142 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131302440123119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22748167614 + ... + 22748173385.

It is an arithmetic number, because the mean of its divisors is an integer number (9076520029500).

Almost surely, 2131302440123114 is an apocalyptic number.

131302440123114 is an abundant number, since it is smaller than the sum of its proper divisors (159146200820886).

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

131302440123114 is a wasteful number, since it uses less digits than its factorization.

131302440123114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45496341054.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131302440123114 its reverse (411321044203131), we get a palindrome (542623484326245).

The spelling of 131302440123114 in words is "one hundred thirty-one trillion, three hundred two billion, four hundred forty million, one hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 962 1443 2886 45496340999 90992681998 136489022997 272978045994 591452432987 1182904865974 1683364616963 1774357298961 3366729233926 3548714597922 5050093850889 10100187701778 21883740020519 43767480041038 65651220061557 131302440123114