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131054114115252 = 22323798388974561
BaseRepresentation
bin11101110011000101101001…
…111010110000111010110100
3122012000122120112200121000200
4131303011221322300322310
5114134142311203142002
61142421232345440500
736414230055641406
oct3563055172607264
9565018515617020
10131054114115252
1138837812931919
12128471b97a0130
135818471a58663
1424510a54b2b76
15102404196bb1c
hex773169eb0eb4

131054114115252 has 36 divisors (see below), whose sum is σ = 340229074035396. Its totient is φ = 42504037009920.

The previous prime is 131054114115251. The next prime is 131054114115271. The reversal of 131054114115252 is 252511411450131.

It is a happy number.

131054114115252 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 4 + 114 + 11 + 525 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109817740524816 + 21236373590436 = 10479396^2 + 4608294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131054114115251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49194485949 + ... + 49194488612.

Almost surely, 2131054114115252 is an apocalyptic number.

131054114115252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131054114115252 is an abundant number, since it is smaller than the sum of its proper divisors (209174959920144).

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

131054114115252 is a wasteful number, since it uses less digits than its factorization.

131054114115252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98388974608 (or 98388974603 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 131054114115252 its reverse (252511411450131), we get a palindrome (383565525565383).

The spelling of 131054114115252 in words is "one hundred thirty-one trillion, fifty-four billion, one hundred fourteen million, one hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 98388974561 196777949122 295166923683 393555898244 590333847366 885500771049 1180667694732 1771001542098 3542003084196 3640392058757 7280784117514 10921176176271 14561568235028 21842352352542 32763528528813 43684704705084 65527057057626 131054114115252