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131111340444 = 22347281920507
BaseRepresentation
bin111101000011011011…
…0000100100110011100
3110112102101010012010000
41322012312010212130
54122004000343234
6140122015014300
712321030001650
oct1720666044634
9415371105100
10131111340444
1150670a2a707
12214b0b0a390
13c4961c6226
1464bad1aa60
1536256d9899
hex1e86d8499c

131111340444 has 120 divisors (see below), whose sum is σ = 391873426560. Its totient is φ = 37445268384.

The previous prime is 131111340427. The next prime is 131111340461. The reversal of 131111340444 is 444043111131.

131111340444 is a `hidden beast` number, since 1 + 311 + 1 + 1 + 340 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131111340427) and next prime (131111340461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6383239 + ... + 6403745.

It is an arithmetic number, because the mean of its divisors is an integer number (3265611888).

Almost surely, 2131111340444 is an apocalyptic number.

131111340444 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 131111340444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195936713280).

131111340444 is an abundant number, since it is smaller than the sum of its proper divisors (260762086116).

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

131111340444 is a wasteful number, since it uses less digits than its factorization.

131111340444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23349 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131111340444 its reverse (444043111131), we get a palindrome (575154451575).

The spelling of 131111340444 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 2819 5638 8457 11276 16914 19733 20507 25371 33828 39466 41014 50742 59199 61521 76113 78932 82028 101484 118398 123042 143549 152226 177597 184563 228339 236796 246084 287098 304452 355194 369126 430647 456678 532791 553689 574196 710388 738252 861294 913356 1065582 1107378 1291941 1598373 1661067 1722588 2131164 2214756 2583882 3196746 3322134 3875823 5167764 6393492 6644268 7751646 11627469 15503292 23254938 46509876 57809233 115618466 173427699 231236932 346855398 404664631 520283097 693710796 809329262 1040566194 1213993893 1560849291 1618658524 2081132388 2427987786 3121698582 3641981679 4682547873 4855975572 6243397164 7283963358 9365095746 10925945037 14567926716 18730191492 21851890074 32777835111 43703780148 65555670222 131111340444