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42211232401 = 134660169677
BaseRepresentation
bin100111010011111111…
…000100101010010001
311000221202212210002211
4213103333010222101
51142422033414101
631220325112121
73023014361332
oct472377045221
9130852783084
1042211232401
11169a115a738
128220558641
133c992176c0
142086130289
151170bc1c51
hex9d3fc4a91

42211232401 has 8 divisors (see below), whose sum is σ = 45459878184. Its totient is φ = 38962819200.

The previous prime is 42211232389. The next prime is 42211232419. The reversal of 42211232401 is 10423211224.

It can be written as a sum of positive squares in 4 ways, for example, as 5806592401 + 36404640000 = 76201^2 + 190800^2 .

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 42211232401 - 215 = 42211199633 is a prime.

It is a super-2 number, since 2×422112324012 (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 (42211232461) 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 7 ways as a sum of consecutive naturals, for example, 570975 + ... + 640651.

It is an arithmetic number, because the mean of its divisors is an integer number (5682484773).

Almost surely, 242211232401 is an apocalyptic number.

It is an amenable number.

42211232401 is a deficient number, since it is larger than the sum of its proper divisors (3248645783).

42211232401 is a wasteful number, since it uses less digits than its factorization.

42211232401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116291.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42211232401 its reverse (10423211224), we get a palindrome (52634443625).

The spelling of 42211232401 in words is "forty-two billion, two hundred eleven million, two hundred thirty-two thousand, four hundred one".

Divisors: 1 13 46601 69677 605813 905801 3247017877 42211232401