Search a number
-
+
131201142111324 = 22323644476169759
BaseRepresentation
bin11101110101001110100101…
…011110000011110001011100
3122012112201002011210122221200
4131311032211132003301130
5114144044414340030244
61143012550025555500
736430653416201235
oct3565164536036134
9565481064718850
10131201142111324
113889410135147a
121286b7b1045b90
1358292a36763bc
14245825226808c
151027c99687669
hex7753a5783c5c

131201142111324 has 18 divisors (see below), whose sum is σ = 331647331448160. Its totient is φ = 43733714037096.

The previous prime is 131201142111289. The next prime is 131201142111329. The reversal of 131201142111324 is 423111241102131.

131201142111324 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 1 + 421 + 1 + 1 + 32 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1312011421113243 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201142111329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1822238084844 + ... + 1822238084915.

It is an arithmetic number, because the mean of its divisors is an integer number (18424851747120).

Almost surely, 2131201142111324 is an apocalyptic number.

It is an amenable number.

131201142111324 is an abundant number, since it is smaller than the sum of its proper divisors (200446189336836).

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

131201142111324 is a wasteful number, since it uses less digits than its factorization.

131201142111324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644476169769 (or 3644476169764 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131201142111324 its reverse (423111241102131), we get a palindrome (554312383213455).

The spelling of 131201142111324 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3644476169759 7288952339518 10933428509277 14577904679036 21866857018554 32800285527831 43733714037108 65600571055662 131201142111324