Search a number
-
+
131022100021 = 2914653308333
BaseRepresentation
bin111101000000110000…
…1101001011000110101
3110112012011012022021011
41322001201221120311
54121313124200041
6140105110152221
712315564321541
oct1720141513065
9415164168234
10131022100021
1150625617a9a
1221487052671
13c48087bc47
1464ad12aa21
15361c95ce81
hex1e81869635

131022100021 has 8 divisors (see below), whose sum is σ = 135549793080. Its totient is φ = 126495052992.

The previous prime is 131022100007. The next prime is 131022100031. The reversal of 131022100021 is 120001220131.

It can be written as a sum of positive squares in 4 ways, for example, as 5518409796 + 125503690225 = 74286^2 + 354265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131022100021 - 231 = 128874616373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131022099974 and 131022100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270771 + ... + 579103.

It is an arithmetic number, because the mean of its divisors is an integer number (16943724135).

Almost surely, 2131022100021 is an apocalyptic number.

It is an amenable number.

131022100021 is a deficient number, since it is larger than the sum of its proper divisors (4527693059).

131022100021 is a wasteful number, since it uses less digits than its factorization.

131022100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323015.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 131022100021 its reverse (120001220131), we get a palindrome (251023320152).

The spelling of 131022100021 in words is "one hundred thirty-one billion, twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 29 14653 308333 424937 8941657 4518003449 131022100021