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1020230320201 = 2947337432993
BaseRepresentation
bin11101101100010100111…
…01110100000001001001
310121112101121100011122121
432312022131310001021
5113203412430221301
62100404244251241
7133465154431261
oct16661235640111
93545347304577
101020230320201
1136374a466994
121458890a0b21
13752905b5401
14375451647a1
151b81282a3a1
hexed8a774049

1020230320201 has 8 divisors (see below), whose sum is σ = 1055633807880. Its totient is φ = 984841708032.

The previous prime is 1020230320177. The next prime is 1020230320247.

1020230320201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1188525625 + 1019041794576 = 34475^2 + 1009476^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1020230320201 - 211 = 1020230318153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020230326201) 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 in 7 ways as a sum of consecutive naturals, for example, 3579240 + ... + 3853753.

It is an arithmetic number, because the mean of its divisors is an integer number (131954225985).

Almost surely, 21020230320201 is an apocalyptic number.

It is an amenable number.

1020230320201 is a deficient number, since it is larger than the sum of its proper divisors (35403487679).

1020230320201 is an equidigital number, since it uses as much as digits as its factorization.

1020230320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437755.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 1020230 and 320201, that added together give a palindrome (1340431).

The spelling of 1020230320201 in words is "one trillion, twenty billion, two hundred thirty million, three hundred twenty thousand, two hundred one".

Divisors: 1 29 4733 137257 7432993 215556797 35180355869 1020230320201