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181415106053 is a prime number
BaseRepresentation
bin1010100011110100101…
…1101101011000000101
3122100021010112020210222
42220331023231120011
510433014231343203
6215201351154125
716051430646506
oct2507513553005
9570233466728
10181415106053
116aa35109315
122b1ab675945
1314151b819cc
148acdb20bad
154abba84038
hex2a3d2ed605

181415106053 has 2 divisors, whose sum is σ = 181415106054. Its totient is φ = 181415106052.

The previous prime is 181415106049. The next prime is 181415106083. The reversal of 181415106053 is 350601514181.

181415106053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154843824004 + 26571282049 = 393502^2 + 163007^2 .

It is a cyclic number.

It is not a de Polignac number, because 181415106053 - 22 = 181415106049 is a prime.

It is a super-2 number, since 2×1814151060532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181415106023) 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 as a sum of consecutive naturals, namely, 90707553026 + 90707553027.

It is an arithmetic number, because the mean of its divisors is an integer number (90707553027).

Almost surely, 2181415106053 is an apocalyptic number.

It is an amenable number.

181415106053 is a deficient number, since it is larger than the sum of its proper divisors (1).

181415106053 is an equidigital number, since it uses as much as digits as its factorization.

181415106053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 35.

The spelling of 181415106053 in words is "one hundred eighty-one billion, four hundred fifteen million, one hundred six thousand, fifty-three".