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131442141033 = 32717210516869
BaseRepresentation
bin111101001101010001…
…1111110011101101001
3110120021102120121012200
41322122203332131221
54123143142003113
6140214513130413
712332154523110
oct1723243763551
9416242517180
10131442141033
1150820731025
1221583859a09
13c5198b9518
14650cc2ac77
15364477e873
hex1e9a8fe769

131442141033 has 72 divisors (see below), whose sum is σ = 230751318720. Its totient is φ = 70614028800.

The previous prime is 131442141029. The next prime is 131442141071. The reversal of 131442141033 is 330141244131.

131442141033 is a `hidden beast` number, since 131 + 4 + 421 + 4 + 103 + 3 = 666.

It is not a de Polignac number, because 131442141033 - 22 = 131442141029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131442140988 and 131442141006.

It is not an unprimeable number, because it can be changed into a prime (131442141533) 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 71 ways as a sum of consecutive naturals, for example, 19132123 + ... + 19138991.

Almost surely, 2131442141033 is an apocalyptic number.

It is an amenable number.

131442141033 is a deficient number, since it is larger than the sum of its proper divisors (99309177687).

131442141033 is a wasteful number, since it uses less digits than its factorization.

131442141033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131442141033 its reverse (330141244131), we get a palindrome (461583385164).

The spelling of 131442141033 in words is "one hundred thirty-one billion, four hundred forty-two million, one hundred forty-one thousand, thirty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 289 357 867 1051 1071 2023 2601 3153 6069 6869 7357 9459 17867 18207 20607 22071 48083 53601 61821 66213 116773 125069 144249 160803 303739 350319 375207 432747 817411 911217 1050957 1125621 1985141 2126173 2452233 2733651 5955423 6378519 7219319 7356699 13895987 17866269 19135557 21657957 41687961 50535233 64973871 122728423 125063883 151605699 368185269 454817097 859098961 1104555807 2086383191 2577296883 6259149573 7731890649 14604682337 18777448719 43814047011 131442141033