Search a number
-
+
13131024344244 = 22331991103553919
BaseRepresentation
bin1011111100010100111000…
…0010101010010010110100
31201111022110122220212001000
42333011032002222102310
53210114314213003434
643532150451003300
72523454011221202
oct277051602522264
951438418825030
1013131024344244
114202921a0a914
121580a69599530
13743333b419b1
1433578b578072
1517b87c3d9b99
hexbf14e0aa4b4

13131024344244 has 96 divisors (see below), whose sum is σ = 34245550080000. Its totient is φ = 4351056909408.

The previous prime is 13131024344237. The next prime is 13131024344299. The reversal of 13131024344244 is 44244342013131.

13131024344244 is a `hidden beast` number, since 1 + 3 + 131 + 0 + 2 + 43 + 442 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13131024344199 and 13131024344208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23428717 + ... + 23982635.

It is an arithmetic number, because the mean of its divisors is an integer number (356724480000).

Almost surely, 213131024344244 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 13131024344244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122775040000).

13131024344244 is an abundant number, since it is smaller than the sum of its proper divisors (21114525735756).

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

13131024344244 is a wasteful number, since it uses less digits than its factorization.

13131024344244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555234 (or 555226 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13131024344244 its reverse (44244342013131), we get a palindrome (57375366357375).

The spelling of 13131024344244 in words is "thirteen trillion, one hundred thirty-one billion, twenty-four million, three hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1103 1194 1791 2206 2388 3309 3582 4412 5373 6618 7164 9927 10746 13236 19854 21492 29781 39708 59562 119124 219497 438994 553919 658491 877988 1107838 1316982 1661757 1975473 2215676 2633964 3323514 3950946 4985271 5926419 6647028 7901892 9970542 11852838 14955813 19941084 23705676 29911626 59823252 110229881 220459762 330689643 440919524 610972657 661379286 992068929 1221945314 1322758572 1832917971 1984137858 2443890628 2976206787 3665835942 3968275716 5498753913 5952413574 7331671884 10997507826 11904827148 16496261739 21995015652 32992523478 65985046956 121583558743 243167117486 364750676229 486334234972 729501352458 1094252028687 1459002704916 2188504057374 3282756086061 4377008114748 6565512172122 13131024344244