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150585320033 is a prime number
BaseRepresentation
bin1000110000111110010…
…1011010001001100001
3112101200112211212000022
42030033211122021201
54431344320220113
6153102234003225
713610434046441
oct2141745321141
9471615755008
10150585320033
115895453a815
1225226876515
131127a908285
1474073d6121
153db519c908
hex230f95a261

150585320033 has 2 divisors, whose sum is σ = 150585320034. Its totient is φ = 150585320032.

The previous prime is 150585320029. The next prime is 150585320117. The reversal of 150585320033 is 330023585051.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139254356224 + 11330963809 = 373168^2 + 106447^2 .

It is a cyclic number.

It is not a de Polignac number, because 150585320033 - 22 = 150585320029 is a prime.

It is a super-2 number, since 2×1505853200332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150585319975 and 150585320002.

It is not a weakly prime, because it can be changed into another prime (150585320023) 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, 75292660016 + 75292660017.

It is an arithmetic number, because the mean of its divisors is an integer number (75292660017).

Almost surely, 2150585320033 is an apocalyptic number.

It is an amenable number.

150585320033 is a deficient number, since it is larger than the sum of its proper divisors (1).

150585320033 is an equidigital number, since it uses as much as digits as its factorization.

150585320033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 150585320033 in words is "one hundred fifty billion, five hundred eighty-five million, three hundred twenty thousand, thirty-three".