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58011602101 is a prime number
BaseRepresentation
bin110110000001110000…
…101100110010110101
312112201221001201121121
4312001300230302311
51422301432231401
642352233543541
74122403324165
oct660160546265
9175657051547
1058011602101
112266a045312
12b2abb74bb1
13561681599b
142b447785a5
151797dd2ca1
hexd81c2ccb5

58011602101 has 2 divisors, whose sum is σ = 58011602102. Its totient is φ = 58011602100.

The previous prime is 58011602029. The next prime is 58011602119. The reversal of 58011602101 is 10120611085.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37562316100 + 20449286001 = 193810^2 + 143001^2 .

It is a cyclic number.

It is not a de Polignac number, because 58011602101 - 225 = 57978047669 is a prime.

It is a super-2 number, since 2×580116021012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58011609101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29005801050 + 29005801051.

It is an arithmetic number, because the mean of its divisors is an integer number (29005801051).

Almost surely, 258011602101 is an apocalyptic number.

It is an amenable number.

58011602101 is a deficient number, since it is larger than the sum of its proper divisors (1).

58011602101 is an equidigital number, since it uses as much as digits as its factorization.

58011602101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 25.

The spelling of 58011602101 in words is "fifty-eight billion, eleven million, six hundred two thousand, one hundred one".