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1053404132305 = 571392294572069
BaseRepresentation
bin11110101010000111100…
…01110111001111010001
310201201000112201102202011
433111003301313033101
5114224332424213210
62123532134222521
7136051223246530
oct17250361671721
93651015642664
101053404132305
11376823196a28
121501a6ab4a41
137844937a225
1438db0cdc317
151c604dccd8a
hexf543c773d1

1053404132305 has 64 divisors (see below), whose sum is σ = 1465321536000. Its totient is φ = 712099289088.

The previous prime is 1053404132279. The next prime is 1053404132311. The reversal of 1053404132305 is 5032314043501.

It is a cyclic number.

It is not a de Polignac number, because 1053404132305 - 237 = 915965178833 is a prime.

It is a super-2 number, since 2×10534041323052 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509135811 + ... + 509137879.

It is an arithmetic number, because the mean of its divisors is an integer number (22895649000).

Almost surely, 21053404132305 is an apocalyptic number.

It is an amenable number.

1053404132305 is a deficient number, since it is larger than the sum of its proper divisors (411917403695).

1053404132305 is a wasteful number, since it uses less digits than its factorization.

1053404132305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1053404132305 its reverse (5032314043501), we get a palindrome (6085718175806).

The spelling of 1053404132305 in words is "one trillion, fifty-three billion, four hundred four million, one hundred thirty-two thousand, three hundred five".

Divisors: 1 5 7 35 139 229 457 695 973 1145 1603 2069 2285 3199 4865 8015 10345 14483 15995 31831 63523 72415 104653 159155 222817 287591 317615 444661 473801 523265 732571 945533 1114085 1437955 2013137 2223305 2369005 3316607 3662855 4727665 6618731 10065685 14546767 16583035 33093655 65858339 72733835 101827369 131429087 216527057 329291695 461008373 509136845 657145435 920003609 1082635285 1515689399 2305041865 4600018045 7578446995 30097260923 150486304615 210680826461 1053404132305