Search a number
-
+
131003131022331 = 3587309832401037
BaseRepresentation
bin11101110010010110001011…
…000101101100101111111011
3122011211202222110000010102220
4131302112023011230233323
5114132323403020203311
61142342001345055123
736410443465542501
oct3562261305545773
9564752873003386
10131003131022331
1138818130243587
121283934b6274a3
13581370841b159
14244c82a396671
151022a5ab35206
hex77258b16cbfb

131003131022331 has 16 divisors (see below), whose sum is σ = 174974126793984. Its totient is φ = 87183787696544.

The previous prime is 131003131022327. The next prime is 131003131022369. The reversal of 131003131022331 is 133220131300131.

It is a cyclic number.

It is not a de Polignac number, because 131003131022331 - 22 = 131003131022327 is a prime.

It is a super-2 number, since 2×1310031310223312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131003131022381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53360545 + ... + 55761581.

It is an arithmetic number, because the mean of its divisors is an integer number (10935882924624).

Almost surely, 2131003131022331 is an apocalyptic number.

131003131022331 is a deficient number, since it is larger than the sum of its proper divisors (43970995771653).

131003131022331 is a wasteful number, since it uses less digits than its factorization.

131003131022331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432610.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131003131022331 its reverse (133220131300131), we get a palindrome (264223262322462).

The spelling of 131003131022331 in words is "one hundred thirty-one trillion, three billion, one hundred thirty-one million, twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 587 1761 30983 92949 2401037 7203111 18187021 54561063 1409408719 4228226157 74391329371 223173988113 43667710340777 131003131022331