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1005311214445 = 51547312994393
BaseRepresentation
bin11101010000100010011…
…01111100001101101101
310120002212212102002000011
432220101031330031231
5112432334132330240
62045500020133221
7132426356221156
oct16502115741555
93502785362004
101005311214445
11358393a76a1a
12142a04837211
1373a53750795
143692b99a92d
151b23cb946ea
hexea1137c36d

1005311214445 has 8 divisors (see below), whose sum is σ = 1206451516536. Its totient is φ = 804196932096.

The previous prime is 1005311214443. The next prime is 1005311214461. The reversal of 1005311214445 is 5444121135001.

It can be written as a sum of positive squares in 4 ways, for example, as 790115881 + 1004521098564 = 28109^2 + 1002258^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005311214445 - 21 = 1005311214443 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005311214443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6419832 + ... + 6574561.

It is an arithmetic number, because the mean of its divisors is an integer number (150806439567).

Almost surely, 21005311214445 is an apocalyptic number.

It is an amenable number.

1005311214445 is a deficient number, since it is larger than the sum of its proper divisors (201140302091).

1005311214445 is a wasteful number, since it uses less digits than its factorization.

1005311214445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009871.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 1005311214445 its reverse (5444121135001), we get a palindrome (6449432349446).

The spelling of 1005311214445 in words is "one trillion, five billion, three hundred eleven million, two hundred fourteen thousand, four hundred forty-five".

Divisors: 1 5 15473 77365 12994393 64971965 201062242889 1005311214445