Search a number
-
+
131403233310021 = 32174813655127239
BaseRepresentation
bin11101111000001010110011…
…000010110011010101000101
3122020021000201021001020202200
4131320022303002303111011
5114210402310211410041
61143245451221425113
736451366422064401
oct3570126302632505
9566230637036680
10131403233310021
113896188658a162
12128a29b0b6b199
13584236bcc134a
142463d43d84101
15102d1764d61b6
hex7782b30b3545

131403233310021 has 48 divisors (see below), whose sum is σ = 201049471284480. Its totient is φ = 82416348172800.

The previous prime is 131403233310017. The next prime is 131403233310049. The reversal of 131403233310021 is 120013332304131.

131403233310021 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 323 + 3 + 310 + 0 + 21 = 666.

It is not a de Polignac number, because 131403233310021 - 22 = 131403233310017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403234310021) 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 47 ways as a sum of consecutive naturals, for example, 4824070720 + ... + 4824097958.

It is an arithmetic number, because the mean of its divisors is an integer number (4188530651760).

Almost surely, 2131403233310021 is an apocalyptic number.

It is an amenable number.

131403233310021 is a deficient number, since it is larger than the sum of its proper divisors (69646237974459).

131403233310021 is a wasteful number, since it uses less digits than its factorization.

131403233310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38626 (or 38623 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131403233310021 its reverse (120013332304131), we get a palindrome (251416565614152).

The spelling of 131403233310021 in words is "one hundred thirty-one trillion, four hundred three billion, two hundred thirty-three million, three hundred ten thousand, twenty-one".

Divisors: 1 3 9 17 51 153 4813 6551 14439 19653 27239 43317 58959 81717 81821 111367 245151 245463 334101 463063 736389 1002303 1389189 4167567 31529963 94589889 131101307 178442689 283769667 393303921 535328067 536009371 1179911763 1605984201 1608028113 2228722219 3033525713 4824084339 6686166657 9100577139 20058499971 27301731417 858844662157 2576533986471 7729601959413 14600359256669 43801077770007 131403233310021