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513111055041 = 321322291473149
BaseRepresentation
bin1110111011101111100…
…11010101101011000001
31211001102120222022120200
413131313303111223001
531401322412230131
61031415302355413
752033241001534
oct7356763255301
91731376868520
10513111055041
111886778a5182
128353ba2bb69
1339503534100
141ab9861aa1b
15d531bc02e6
hex7777cd5ac1

513111055041 has 36 divisors (see below), whose sum is σ = 806063485500. Its totient is φ = 314381568384.

The previous prime is 513111054971. The next prime is 513111055043. The reversal of 513111055041 is 140550111315.

513111055041 is a `hidden beast` number, since 51 + 3 + 1 + 1 + 105 + 504 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6339344400 + 506771710641 = 79620^2 + 711879^2 .

It is not a de Polignac number, because 513111055041 - 222 = 513106860737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513111054996 and 513111055014.

It is not an unprimeable number, because it can be changed into a prime (513111055043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388266 + ... + 1084883.

It is an arithmetic number, because the mean of its divisors is an integer number (22390652375).

Almost surely, 2513111055041 is an apocalyptic number.

It is an amenable number.

513111055041 is a deficient number, since it is larger than the sum of its proper divisors (292952430459).

513111055041 is a wasteful number, since it uses less digits than its factorization.

513111055041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473410 (or 1473394 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 513111055041 its reverse (140550111315), we get a palindrome (653661166356).

The spelling of 513111055041 in words is "five hundred thirteen billion, one hundred eleven million, fifty-five thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 229 507 687 1521 2061 2977 8931 26793 38701 116103 348309 1473149 4419447 13258341 19150937 57452811 172358433 248962181 337351121 746886543 1012053363 2240659629 3036160089 4385564573 13156693719 39470081157 57012339449 171037018347 513111055041