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131000103204444 = 223234727299384143
BaseRepresentation
bin11101110010010011010110…
…100111011111011001011100
3122011211111011102122001010200
4131302103112213133121130
5114132301202410020234
61142340341104303500
736410305451530215
oct3562232647373134
9564744142561120
10131000103204444
1138816917103151
1212838845611b90
135813345046c36
14244c6201cc40c
15102292ede8d99
hex7724d69df65c

131000103204444 has 72 divisors (see below), whose sum is σ = 332106470841600. Its totient is φ = 43539152128032.

The previous prime is 131000103204361. The next prime is 131000103204491. The reversal of 131000103204444 is 444402301000131.

131000103204444 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 0 + 10 + 3 + 204 + 444 = 666.

It is a super-2 number, since 2×1310001032044442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340827037 + ... + 341211179.

It is an arithmetic number, because the mean of its divisors is an integer number (4612589872800).

Almost surely, 2131000103204444 is an apocalyptic number.

It is an amenable number.

131000103204444 is an abundant number, since it is smaller than the sum of its proper divisors (201106367637156).

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

131000103204444 is a wasteful number, since it uses less digits than its factorization.

131000103204444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411799 (or 411794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131000103204444 its reverse (444402301000131), we get a palindrome (575402404204575).

The spelling of 131000103204444 in words is "one hundred thirty-one trillion, one hundred three million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 347 694 1041 1388 2082 3123 4164 6246 12492 27299 54598 81897 109196 163794 245691 327588 384143 491382 768286 982764 1152429 1536572 2304858 3457287 4609716 6914574 9472753 13829148 18945506 28418259 37891012 56836518 85254777 113673036 133297621 170509554 266595242 341019108 399892863 533190484 799785726 1199678589 1599571452 2399357178 4798714356 10486719757 20973439514 31460159271 41946879028 62920318542 94380477813 125840637084 188760955626 377521911252 3638891755679 7277783511358 10916675267037 14555567022716 21833350534074 32750025801111 43666701068148 65500051602222 131000103204444