Search a number
-
+
131012224203224 = 237135914512102137
BaseRepresentation
bin11101110010011110101001…
…000101011011100111011000
3122011212122110011102120121102
4131302132221011123213120
5114133001013344000344
61142350103535330532
736411215022365120
oct3562365105334730
9564778404376542
10131012224203224
1138820a77098a11
121283b068980a48
135814527295170
14244d04dd05c80
151022dde0bae4e
hex7727a915b9d8

131012224203224 has 128 divisors (see below), whose sum is σ = 307672281100800. Its totient is φ = 50915415628800.

The previous prime is 131012224203221. The next prime is 131012224203239. The reversal of 131012224203224 is 422302422210131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012224203221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61272284 + ... + 63374420.

It is an arithmetic number, because the mean of its divisors is an integer number (2403689696100).

Almost surely, 2131012224203224 is an apocalyptic number.

131012224203224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012224203224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153836140550400).

131012224203224 is an abundant number, since it is smaller than the sum of its proper divisors (176660056897576).

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

131012224203224 is a wasteful number, since it uses less digits than its factorization.

131012224203224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103673 (or 2103669 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 131012224203224 its reverse (422302422210131), we get a palindrome (553314646413355).

The spelling of 131012224203224 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 182 236 364 413 472 728 767 826 1451 1534 1652 2902 3068 3304 5369 5804 6136 10157 10738 11608 18863 20314 21476 37726 40628 42952 75452 81256 85609 132041 150904 171218 264082 342436 528164 599263 684872 1056328 1112917 1198526 2102137 2225834 2397052 4204274 4451668 4794104 7790419 8408548 8903336 14714959 15580838 16817096 27327781 29429918 31161676 54655562 58859836 62323352 109311124 117719672 124026083 191294467 218622248 248052166 382588934 496104332 765177868 868182581 992208664 1530355736 1612339079 1736365162 3050200787 3224678158 3472730324 6100401574 6449356316 6945460648 11286373553 12200803148 12898712632 21351405509 22572747106 24401606296 39652610231 42702811018 45145494212 79305220462 85405622036 90290988424 158610440924 170811244072 179961846433 277568271617 317220881848 359923692866 555136543234 719847385732 1110273086468 1259732925031 1439694771464 2220546172936 2339504003629 2519465850062 4679008007258 5038931700124 9358016014516 10077863400248 16376528025403 18716032029032 32753056050806 65506112101612 131012224203224