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131544002004 = 22359972637283
BaseRepresentation
bin111101010000010100…
…0100010110111010100
3110120112112020200012020
41322200220202313110
54123400231031004
6140232552253140
712334532365632
oct1724050426724
9416475220166
10131544002004
1150873183748
12215b19a11b0
13c534a3209c
14651c584352
15364d6a08d9
hex1ea0a22dd4

131544002004 has 96 divisors (see below), whose sum is σ = 316598768640. Its totient is φ = 42492392448.

The previous prime is 131544001987. The next prime is 131544002071. The reversal of 131544002004 is 400200445131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18058147 + ... + 18065429.

It is an arithmetic number, because the mean of its divisors is an integer number (3297903840).

Almost surely, 2131544002004 is an apocalyptic number.

It is an amenable number.

131544002004 is an abundant number, since it is smaller than the sum of its proper divisors (185054766636).

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

131544002004 is a wasteful number, since it uses less digits than its factorization.

131544002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 131544002004 its reverse (400200445131), we get a palindrome (531744447135).

The spelling of 131544002004 in words is "one hundred thirty-one billion, five hundred forty-four million, two thousand, four".

Divisors: 1 2 3 4 6 12 59 97 118 177 194 236 263 291 354 388 526 582 708 789 1052 1164 1578 3156 5723 7283 11446 14566 15517 17169 21849 22892 25511 29132 31034 34338 43698 46551 51022 62068 68676 76533 87396 93102 102044 153066 186204 306132 429697 706451 859394 1289091 1412902 1505149 1718788 1915429 2119353 2578182 2825804 3010298 3830858 4238706 4515447 5156364 5746287 6020596 7661716 8477412 9030894 11492574 18061788 22985148 41680609 83361218 113010311 125041827 166722436 185796613 226020622 250083654 339030933 371593226 452041244 500167308 557389839 678061866 743186452 1114779678 1356123732 2229559356 10962000167 21924000334 32886000501 43848000668 65772001002 131544002004