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122202333010001 = 2941622971649797
BaseRepresentation
bin11011110010010001110010…
…101001100101100001010001
3121000200102120200212202110202
4123302101302221211201101
5112004130334222310001
61111522550552304545
734511553505663526
oct3362216251454121
9530612520782422
10122202333010001
1135a3479a1a3132
121185776a0a2155
1353258274423aa
1422268a57c314d
15e1db6a7e996b
hex6f2472a65851

122202333010001 has 16 divisors (see below), whose sum is σ = 129501685913040. Its totient is φ = 115108774609920.

The previous prime is 122202333009941. The next prime is 122202333010007. The reversal of 122202333010001 is 100010333202221.

It can be written as a sum of positive squares in 8 ways, for example, as 205889970001 + 121996443040000 = 453751^2 + 11045200^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202333010001 - 26 = 122202333009937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122202333010007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73246235 + ... + 74896031.

It is an arithmetic number, because the mean of its divisors is an integer number (8093855369565).

Almost surely, 2122202333010001 is an apocalyptic number.

It is an amenable number.

122202333010001 is a deficient number, since it is larger than the sum of its proper divisors (7299352903039).

122202333010001 is a wasteful number, since it uses less digits than its factorization.

122202333010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712164.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122202333010001 its reverse (100010333202221), we get a palindrome (222212666212222).

The spelling of 122202333010001 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred thirty-three million, ten thousand, one".

Divisors: 1 29 41 1189 62297 1649797 1806613 2554177 47844113 67641677 74071133 1961608633 102777403709 2980544707561 4213873552069 122202333010001