Search a number
-
+
131506713237 = 35912757710139
BaseRepresentation
bin111101001111001101…
…0010011001010010101
3110120102221002012121210
41322132122103022111
54123311204310422
6140225141132033
712333600422214
oct1723632231225
9416387065553
10131506713237
1150854125089
12215a13ba019
13c52a0a7623
14651763907b
15364a28710c
hex1e9e693295

131506713237 has 32 divisors (see below), whose sum is σ = 180047462400. Its totient is φ = 85349956608.

The previous prime is 131506713227. The next prime is 131506713253. The reversal of 131506713237 is 732317605131.

It is a happy number.

It is not a de Polignac number, because 131506713237 - 215 = 131506680469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131506713195 and 131506713204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131506713227) 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, 12965314 + ... + 12975452.

It is an arithmetic number, because the mean of its divisors is an integer number (5626483200).

Almost surely, 2131506713237 is an apocalyptic number.

It is an amenable number.

131506713237 is a deficient number, since it is larger than the sum of its proper divisors (48540749163).

131506713237 is a wasteful number, since it uses less digits than its factorization.

131506713237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905.

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 131506713237 in words is "one hundred thirty-one billion, five hundred six million, seven hundred thirteen thousand, two hundred thirty-seven".

Divisors: 1 3 59 127 177 381 577 1731 7493 10139 22479 30417 34043 73279 102129 219837 598201 1287653 1794603 3862959 4323461 5850203 12970383 17550609 75971527 227914581 345161977 742975781 1035485931 2228927343 43835571079 131506713237