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131011001004 = 223131675028827
BaseRepresentation
bin111101000000011011…
…1010011101010101100
3110112011101022102021110
41322000313103222230
54121302304013004
6140104032232020
712315401064102
oct1720067235254
9415141272243
10131011001004
115061a327154
122148339b610
13c47b494090
1464ab87bc72
15361b9b9589
hex1e80dd3aac

131011001004 has 48 divisors (see below), whose sum is σ = 331178496768. Its totient is φ = 40069685568.

The previous prime is 131011000969. The next prime is 131011001021. The reversal of 131011001004 is 400100110131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2488362 + ... + 2540465.

It is an arithmetic number, because the mean of its divisors is an integer number (6899552016).

Almost surely, 2131011001004 is an apocalyptic number.

It is an amenable number.

131011001004 is an abundant number, since it is smaller than the sum of its proper divisors (200167495764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131011001004 is a wasteful number, since it uses less digits than its factorization.

131011001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029014 (or 5029012 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131011001004 its reverse (400100110131), we get a palindrome (531111111135).

The spelling of 131011001004 in words is "one hundred thirty-one billion, eleven million, one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 167 334 501 668 1002 2004 2171 4342 6513 8684 13026 26052 5028827 10057654 15086481 20115308 30172962 60345924 65374751 130749502 196124253 261499004 392248506 784497012 839814109 1679628218 2519442327 3359256436 5038884654 10077769308 10917583417 21835166834 32752750251 43670333668 65505500502 131011001004