Search a number
-
+
131344022301201 = 343747932450339
BaseRepresentation
bin11101110111010011101001…
…110010101110101000010001
3122020001100212202002100110000
4131313103221302232220101
5114203420024202114301
61143202335540200213
736444202212602463
oct3567235162565021
9566040782070400
10131344022301201
1138939761503926
1212893427399069
1358398c3b61258
1424611281d2133
15102b85d183786
hex7774e9caea11

131344022301201 has 40 divisors (see below), whose sum is σ = 205795519839360. Its totient is φ = 83383439025312.

The previous prime is 131344022301161. The next prime is 131344022301227. The reversal of 131344022301201 is 102103220443131.

131344022301201 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 402 + 230 + 1 + 20 + 1 = 666.

It is not a de Polignac number, because 131344022301201 - 27 = 131344022301073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131344022301241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 466084311 + ... + 466366028.

It is an arithmetic number, because the mean of its divisors is an integer number (5144887995984).

Almost surely, 2131344022301201 is an apocalyptic number.

It is an amenable number.

131344022301201 is a deficient number, since it is larger than the sum of its proper divisors (74451497538159).

131344022301201 is an equidigital number, since it uses as much as digits as its factorization.

131344022301201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932450435 (or 932450426 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131344022301201 its reverse (102103220443131), we get a palindrome (233447242744332).

The spelling of 131344022301201 in words is "one hundred thirty-one trillion, three hundred forty-four billion, twenty-two million, three hundred one thousand, two hundred one".

Divisors: 1 3 9 27 37 47 81 111 141 333 423 999 1269 1739 2997 3807 5217 15651 46953 140859 932450339 2797351017 8392053051 25176159153 34500662543 43825165933 75528477459 103501987629 131475497799 310505962887 394426493397 931517888661 1183279480191 1621531139521 2794553665983 3549838440573 4864593418563 14593780255689 43781340767067 131344022301201