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1026005345201 = 15755213118361
BaseRepresentation
bin11101110111000101010…
…11110010001110110001
310122002022002001211122102
432323202223302032301
5113302224332021301
62103201303150145
7134061240352664
oct16734253621661
93562262054572
101026005345201
113661432a6721
12146a1b145355
13759a0b91175
143793212d6db
151ba4e823b6b
hexeee2af23b1

1026005345201 has 8 divisors (see below), whose sum is σ = 1032567835944. Its totient is φ = 1019443201920.

The previous prime is 1026005345171. The next prime is 1026005345231. The reversal of 1026005345201 is 1025435006201.

It is an interprime number because it is at equal distance from previous prime (1026005345171) and next prime (1026005345231).

It can be written as a sum of positive squares in 4 ways, for example, as 449201550625 + 576803794576 = 670225^2 + 759476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1026005345201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1026005345231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8609261 + ... + 8727621.

It is an arithmetic number, because the mean of its divisors is an integer number (129070979493).

Almost surely, 21026005345201 is an apocalyptic number.

It is an amenable number.

1026005345201 is a deficient number, since it is larger than the sum of its proper divisors (6562490743).

1026005345201 is a wasteful number, since it uses less digits than its factorization.

1026005345201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173731.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 1026005345201 in words is "one trillion, twenty-six billion, five million, three hundred forty-five thousand, two hundred one".

Divisors: 1 157 55213 118361 8668441 18582677 6535065893 1026005345201