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131278112604 = 223247599971319
BaseRepresentation
bin111101001000011001…
…0010000011101011100
3110112211222221002111200
41322100302100131130
54122324144100404
6140150333315500
712325123355112
oct1722062203534
9415758832450
10131278112604
1150747088041
1221538935b90
13c4c1918292
1464d512dab2
15363517d839
hex1e90c9075c

131278112604 has 144 divisors (see below), whose sum is σ = 345253708800. Its totient is φ = 42028299648.

The previous prime is 131278112591. The next prime is 131278112611. The reversal of 131278112604 is 406211872131.

131278112604 is a `hidden beast` number, since 1 + 31 + 2 + 7 + 8 + 1 + 12 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 99527857 + ... + 99529175.

It is an arithmetic number, because the mean of its divisors is an integer number (2397595200).

Almost surely, 2131278112604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131278112604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172626854400).

131278112604 is an abundant number, since it is smaller than the sum of its proper divisors (213975596196).

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

131278112604 is a wasteful number, since it uses less digits than its factorization.

131278112604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 131278112604 its reverse (406211872131), we get a palindrome (537489984735).

The spelling of 131278112604 in words is "one hundred thirty-one billion, two hundred seventy-eight million, one hundred twelve thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 59 94 118 141 177 188 236 282 354 423 531 564 708 846 997 1062 1319 1692 1994 2124 2638 2773 2991 3957 3988 5276 5546 5982 7914 8319 8973 11092 11871 11964 15828 16638 17946 23742 24957 33276 35892 46859 47484 49914 58823 61993 77821 93718 99828 117646 123986 140577 155642 176469 185979 187436 233463 235292 247972 281154 311284 352938 371958 421731 466926 529407 557937 562308 700389 705876 743916 843462 933852 1058814 1115874 1315043 1400778 1686924 2117628 2231748 2630086 2764681 2801556 3657587 3945129 5260172 5529362 7315174 7890258 8294043 10972761 11058724 11835387 14630348 15780516 16588086 21945522 23670774 24882129 32918283 33176172 43891044 47341548 49764258 61807021 65836566 77587537 99528516 123614042 131673132 155175074 185421063 232762611 247228084 310350148 370842126 465525222 556263189 698287833 741684252 931050444 1112526378 1396575666 2225052756 2793151332 3646614239 7293228478 10939842717 14586456956 21879685434 32819528151 43759370868 65639056302 131278112604