Search a number
-
+
131021223122001 = 3151399769723493
BaseRepresentation
bin11101110010100111000001…
…011101100101010001010001
3122011220111200022111000110110
4131302213001131211101101
5114133122431104401001
61142354152521351533
736411654023053662
oct3562470135452121
9564814608430413
10131021223122001
1138824874810873
121284095a6385a9
13581532c757284
14244d665119369
1510232691323d6
hex7729c1765451

131021223122001 has 16 divisors (see below), whose sum is σ = 175852567399040. Its totient is φ = 86768684956800.

The previous prime is 131021223121891. The next prime is 131021223122047. The reversal of 131021223122001 is 100221322120131.

It is not a de Polignac number, because 131021223122001 - 245 = 95836851033169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131021223122081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180733611 + ... + 181457103.

It is an arithmetic number, because the mean of its divisors is an integer number (10990785462440).

Almost surely, 2131021223122001 is an apocalyptic number.

It is an amenable number.

131021223122001 is a deficient number, since it is larger than the sum of its proper divisors (44831344277039).

131021223122001 is a wasteful number, since it uses less digits than its factorization.

131021223122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123416.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131021223122001 its reverse (100221322120131), we get a palindrome (231242545242132).

The spelling of 131021223122001 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, one".

Divisors: 1 3 151 453 399769 723493 1199307 2170479 60365119 109247443 181095357 327742329 289230073117 867690219351 43673741040667 131021223122001