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131221343123244 = 22321130710311046917
BaseRepresentation
bin11101110101100001011001…
…100010110011011100101100
3122012121122020000120101201100
4131311201121202303130230
5114144412302314420434
61143030130335443100
736432300132025563
oct3565413142633454
9565548200511640
10131221343123244
11388a1728294750
12128736aa386490
13582b1728a0aaa
14245920b116bda
15102857cdac699
hex7758598b372c

131221343123244 has 144 divisors (see below), whose sum is σ = 363383931246336. Its totient is φ = 39596038185600.

The previous prime is 131221343123219. The next prime is 131221343123263. The reversal of 131221343123244 is 442321343122131.

131221343123244 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 13 + 4 + 312 + 324 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131221343123199 and 131221343123208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124817274 + ... + 125864190.

It is an arithmetic number, because the mean of its divisors is an integer number (2523499522544).

Almost surely, 2131221343123244 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 131221343123244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181691965623168).

131221343123244 is an abundant number, since it is smaller than the sum of its proper divisors (232162588123092).

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

131221343123244 is a wasteful number, since it uses less digits than its factorization.

131221343123244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048276 (or 1048271 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 131221343123244 its reverse (442321343122131), we get a palindrome (573542686245375).

The spelling of 131221343123244 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred forty-three million, one hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 307 396 614 921 1031 1228 1842 2062 2763 3093 3377 3684 4124 5526 6186 6754 9279 10131 11052 11341 12372 13508 18558 20262 22682 30393 34023 37116 40524 45364 60786 68046 102069 121572 136092 204138 316517 408276 633034 949551 1046917 1266068 1899102 2093834 2848653 3140751 3481687 3798204 4187668 5697306 6281502 6963374 9422253 10445061 11394612 11516087 12563004 13926748 18844506 20890122 23032174 31335183 34548261 37689012 41780244 46064348 62670366 69096522 103644783 125340732 138193044 207289566 321403519 414579132 642807038 964210557 1079371427 1285614076 1928421114 2158742854 2892631671 3238114281 3535438709 3856842228 4317485708 5785263342 6476228562 7070877418 9714342843 10606316127 11570526684 11873085697 12952457124 14141754836 19428685686 21212632254 23746171394 31818948381 35619257091 38857371372 42425264508 47492342788 63637896762 71238514182 106857771273 127275793524 142477028364 213715542546 331367028089 427431085092 662734056178 994101084267 1325468112356 1988202168534 2982303252801 3645037308979 3976404337068 5964606505602 7290074617958 10935111926937 11929213011204 14580149235916 21870223853874 32805335780811 43740447707748 65610671561622 131221343123244