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1085215129 is a prime number
BaseRepresentation
bin100000010101111…
…0001000110011001
32210122000122021221
41000223301012121
54210303341004
6255403532041
735615114335
oct10053610631
92718018257
101085215129
11507637209
1226352a021
13143aa523b
14a41b07c5
1565415354
hex40af1199

1085215129 has 2 divisors, whose sum is σ = 1085215130. Its totient is φ = 1085215128.

The previous prime is 1085215099. The next prime is 1085215189. The reversal of 1085215129 is 9215125801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 959326729 + 125888400 = 30973^2 + 11220^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085215129 - 217 = 1085084057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1085215094 and 1085215103.

It is not a weakly prime, because it can be changed into another prime (1085215189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542607564 + 542607565.

It is an arithmetic number, because the mean of its divisors is an integer number (542607565).

Almost surely, 21085215129 is an apocalyptic number.

It is an amenable number.

1085215129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085215129 is an equidigital number, since it uses as much as digits as its factorization.

1085215129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 34.

The square root of 1085215129 is about 32942.6035552747. The cubic root of 1085215129 is about 1027.6343512396.

The spelling of 1085215129 in words is "one billion, eighty-five million, two hundred fifteen thousand, one hundred twenty-nine".