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1055042213301 = 32117226912589
BaseRepresentation
bin11110101101001010110…
…10101001010110110101
310201212020201001120102200
433112211122221112311
5114241211301311201
62124402452055113
7136136633563056
oct17264532512665
93655221046380
101055042213301
1137749390847a
12150583604499
137864a85721b
14390c86a672d
151c69db00386
hexf5a56a95b5

1055042213301 has 6 divisors (see below), whose sum is σ = 1523949863670. Its totient is φ = 703361475528.

The previous prime is 1055042213263. The next prime is 1055042213311. The reversal of 1055042213301 is 1033122405501.

1055042213301 is a `hidden beast` number, since 1 + 0 + 5 + 504 + 22 + 133 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 809622044100 + 245420169201 = 899790^2 + 495399^2 .

It is not a de Polignac number, because 1055042213301 - 226 = 1054975104437 is a prime.

It is a super-2 number, since 2×10550422133012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055042213311) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 58613456286 + ... + 58613456303.

It is an arithmetic number, because the mean of its divisors is an integer number (253991643945).

Almost surely, 21055042213301 is an apocalyptic number.

It is an amenable number.

1055042213301 is a deficient number, since it is larger than the sum of its proper divisors (468907650369).

1055042213301 is a wasteful number, since it uses less digits than its factorization.

1055042213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117226912595 (or 117226912592 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1055042213301 its reverse (1033122405501), we get a palindrome (2088164618802).

The spelling of 1055042213301 in words is "one trillion, fifty-five billion, forty-two million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 117226912589 351680737767 1055042213301