Search a number
-
+
41242003131 = 372973927683
BaseRepresentation
bin100110011010001101…
…110000011010111011
310221110020002211111110
4212122031300122323
51133430423100011
630540223131403
72660005146120
oct463215603273
9127406084443
1041242003131
111654404340a
127baba43b63
133b73492264
141dd3512747
151115a6cba6
hex99a3706bb

41242003131 has 32 divisors (see below), whose sum is σ = 65902671360. Its totient is φ = 22442482944.

The previous prime is 41242003123. The next prime is 41242003141. The reversal of 41242003131 is 13130024214.

It is not a de Polignac number, because 41242003131 - 23 = 41242003123 is a prime.

It is a super-2 number, since 2×412420031312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41242003098 and 41242003107.

It is not an unprimeable number, because it can be changed into a prime (41242003141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419385 + ... + 508298.

It is an arithmetic number, because the mean of its divisors is an integer number (2059458480).

Almost surely, 241242003131 is an apocalyptic number.

41242003131 is a deficient number, since it is larger than the sum of its proper divisors (24660668229).

41242003131 is a wasteful number, since it uses less digits than its factorization.

41242003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927795.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41242003131 its reverse (13130024214), we get a palindrome (54372027345).

The spelling of 41242003131 in words is "forty-one billion, two hundred forty-two million, three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 73 87 203 219 511 609 1533 2117 6351 14819 44457 927683 2783049 6493781 19481343 26902807 67720859 80708421 188319649 203162577 474046013 564958947 1422138039 1963904911 5891714733 13747334377 41242003131