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1041211345145 = 517611491347733
BaseRepresentation
bin11110010011011010000…
…10000100100011111001
310200112112210211200010112
433021231002010203321
5114024400101021040
62114154220354105
7135140121256226
oct17115502044371
93615483750115
101041211345145
11371636729524
121499636a5935
13772552b547a
143857585894d
151c13e77a365
hexf26d0848f9

1041211345145 has 32 divisors (see below), whose sum is σ = 1353664029600. Its totient is φ = 765943050240.

The previous prime is 1041211345129. The next prime is 1041211345217. The reversal of 1041211345145 is 5415431121401.

It can be written as a sum of positive squares in 16 ways, for example, as 508774064656 + 532437280489 = 713284^2 + 729683^2 .

It is not a de Polignac number, because 1041211345145 - 24 = 1041211345129 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98699 + ... + 1446431.

It is an arithmetic number, because the mean of its divisors is an integer number (42302000925).

Almost surely, 21041211345145 is an apocalyptic number.

It is an amenable number.

1041211345145 is a deficient number, since it is larger than the sum of its proper divisors (312452684455).

1041211345145 is a wasteful number, since it uses less digits than its factorization.

1041211345145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347965.

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 1041211345145 its reverse (5415431121401), we get a palindrome (6456642466546).

The spelling of 1041211345145 in words is "one trillion, forty-one billion, two hundred eleven million, three hundred forty-five thousand, one hundred forty-five".

Divisors: 1 5 17 61 85 149 305 745 1037 2533 5185 9089 12665 45445 154513 772565 1347733 6738665 22911461 82211713 114557305 200812217 411058565 1004061085 1397599121 3413807689 6987995605 12249545237 17069038445 61247726185 208242269029 1041211345145