Search a number
-
+
131023033001 = 727150374873
BaseRepresentation
bin111101000000110010…
…1001101001010101001
3110112012012221201001222
41322001211031022221
54121313344024001
6140105142151425
712315605255600
oct1720145151251
9415165851058
10131023033001
11506260a4a53
1221487422575
13c480b177c3
1464ad2d0a37
15361ca9461b
hex1e8194d2a9

131023033001 has 24 divisors (see below), whose sum is σ = 154870579584. Its totient is φ = 110502087360.

The previous prime is 131023032983. The next prime is 131023033021. The reversal of 131023033001 is 100330320131.

It is not a de Polignac number, because 131023033001 - 26 = 131023032937 is a prime.

It is a super-2 number, since 2×1310230330012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131023033021) 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 23 ways as a sum of consecutive naturals, for example, 1712501 + ... + 1787373.

It is an arithmetic number, because the mean of its divisors is an integer number (6452940816).

Almost surely, 2131023033001 is an apocalyptic number.

It is an amenable number.

131023033001 is a deficient number, since it is larger than the sum of its proper divisors (23847546583).

131023033001 is an equidigital number, since it uses as much as digits as its factorization.

131023033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75461 (or 75454 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 131023033001 its reverse (100330320131), we get a palindrome (231353353132).

The spelling of 131023033001 in words is "one hundred thirty-one billion, twenty-three million, thirty-three thousand, one".

Divisors: 1 7 49 71 497 503 3479 3521 24647 35713 74873 249991 524111 1749937 3668777 5315983 37211881 37661119 260483167 263627833 1845394831 2673939449 18717576143 131023033001