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42005122201 = 737433771673
BaseRepresentation
bin100111000111101100…
…110100110010011001
311000102102001022001201
4213013230310302121
51142011302402301
631144043314201
73014632435060
oct470754646231
9130372038051
1042005122201
11168a5884029
12818351b961
133c656011c3
1420669db1d7
15115ca5c201
hex9c7b34c99

42005122201 has 16 divisors (see below), whose sum is σ = 50449911424. Its totient is φ = 34216608384.

The previous prime is 42005122189. The next prime is 42005122207. The reversal of 42005122201 is 10222150024.

It is not a de Polignac number, because 42005122201 - 29 = 42005121689 is a prime.

It is a super-2 number, since 2×420051222012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42005122207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1874700 + ... + 1896973.

It is an arithmetic number, because the mean of its divisors is an integer number (3153119464).

Almost surely, 242005122201 is an apocalyptic number.

It is an amenable number.

42005122201 is a deficient number, since it is larger than the sum of its proper divisors (8444789223).

42005122201 is a wasteful number, since it uses less digits than its factorization.

42005122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771760.

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 42005122201 its reverse (10222150024), we get a palindrome (52227272225).

The spelling of 42005122201 in words is "forty-two billion, five million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 7 37 43 259 301 1591 11137 3771673 26401711 139551901 162181939 976863307 1135273573 6000731743 42005122201