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131001041241 = 32711243184949
BaseRepresentation
bin111101000000001000…
…1010100000101011001
3110112010200120102001100
41322000101110011121
54121242231304431
6140103034542013
712315220322640
oct1720021240531
9415120512040
10131001041241
1150614744244
122147bb97909
13c4793b7925
1464aa408357
15361ab9d4e6
hex1e80454159

131001041241 has 24 divisors (see below), whose sum is σ = 216276091200. Its totient is φ = 74850674976.

The previous prime is 131001041239. The next prime is 131001041257. The reversal of 131001041241 is 142140100131.

It is not a de Polignac number, because 131001041241 - 21 = 131001041239 is a prime.

It is a super-2 number, since 2×1310010412412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131001041201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615835 + ... + 800783.

It is an arithmetic number, because the mean of its divisors is an integer number (9011503800).

Almost surely, 2131001041241 is an apocalyptic number.

It is an amenable number.

131001041241 is a deficient number, since it is larger than the sum of its proper divisors (85275049959).

131001041241 is a wasteful number, since it uses less digits than its factorization.

131001041241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196205 (or 196202 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131001041241 its reverse (142140100131), we get a palindrome (273141141372).

The spelling of 131001041241 in words is "one hundred thirty-one billion, one million, forty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 11243 33729 78701 101187 184949 236103 554847 708309 1294643 1664541 3883929 11651787 2079381607 6238144821 14555671249 18714434463 43667013747 131001041241