Search a number
-
+
131320322440131 = 31113794213083191
BaseRepresentation
bin11101110110111101100101…
…001010111011101111000011
3122012222002201001121122221210
4131312331211022323233003
5114203023010021041011
61143143420122021203
736442403003240556
oct3566754512735703
9565862631548853
10131320322440131
113892a6aa55a490
121288a912347803
1358375b7ab1016
14245dd1a7a469d
15102ae226cc6a6
hex776f652bbbc3

131320322440131 has 32 divisors (see below), whose sum is σ = 192426107198976. Its totient is φ = 78998727456000.

The previous prime is 131320322440117. The next prime is 131320322440147. The reversal of 131320322440131 is 131044223023131.

It is not a de Polignac number, because 131320322440131 - 210 = 131320322439107 is a prime.

It is a super-2 number, since 2×1313203224401312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131320322440171) 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, 41050746 + ... + 44133936.

It is an arithmetic number, because the mean of its divisors is an integer number (6013315849968).

Almost surely, 2131320322440131 is an apocalyptic number.

131320322440131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131320322440131 is a deficient number, since it is larger than the sum of its proper divisors (61105784758845).

131320322440131 is a wasteful number, since it uses less digits than its factorization.

131320322440131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092763.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131320322440131 its reverse (131044223023131), we get a palindrome (262364545463262).

The spelling of 131320322440131 in words is "one hundred thirty-one trillion, three hundred twenty billion, three hundred twenty-two million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 137 411 1507 4521 9421 28263 103631 310893 1290677 3083191 3872031 9249573 14197447 33915101 42592341 101745303 422397167 1267191501 4646368837 13939106511 29046742411 87140227233 319514166521 958542499563 3979403710307 11938211130921 43773440813377 131320322440131