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1055603167201 = 111731200390911
BaseRepresentation
bin11110101110001101101…
…10100000111111100001
310201220200210120222112001
433113012312200333201
5114243333402322301
62124534251204001
7136156554606142
oct17270666407741
93656623528461
101055603167201
11377751517440
121506bb446601
1378709b314cb
143913cda7ac9
151c6d2ea8c01
hexf5c6da0fe1

1055603167201 has 32 divisors (see below), whose sum is σ = 1259281022976. Its totient is φ = 873608736000.

The previous prime is 1055603167193. The next prime is 1055603167211. The reversal of 1055603167201 is 1027613065501.

It is not a de Polignac number, because 1055603167201 - 23 = 1055603167193 is a prime.

It is a super-2 number, since 2×10556031672012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055603167211) 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 31 ways as a sum of consecutive naturals, for example, 11565936 + ... + 11656846.

It is an arithmetic number, because the mean of its divisors is an integer number (39352531968).

Almost surely, 21055603167201 is an apocalyptic number.

1055603167201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1055603167201 is a deficient number, since it is larger than the sum of its proper divisors (203677855775).

1055603167201 is a wasteful number, since it uses less digits than its factorization.

1055603167201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92973.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 1055603167201 in words is "one trillion, fifty-five billion, six hundred three million, one hundred sixty-seven thousand, two hundred one".

Divisors: 1 11 17 31 187 341 527 2003 5797 22033 34051 62093 90911 374561 683023 1000021 1055581 1545487 2818241 11611391 17000357 31000651 47910097 182094733 527011067 2003042063 3095610461 5644936723 34051715071 62094303953 95963924291 1055603167201