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1010122230001 = 41208111839081
BaseRepresentation
bin11101011001011111111…
…10100000100011110001
310120120022011011222122111
432230233332200203301
5113022212242330001
62052013241005321
7132656525200453
oct16545776404361
93516264158574
101010122230001
1135a432735135
12143927a83841
137433c3b0c51
1436c669062d3
151b42021a851
hexeb2ffa08f1

1010122230001 has 8 divisors (see below), whose sum is σ = 1035256686408. Its totient is φ = 985011456000.

The previous prime is 1010122229903. The next prime is 1010122230031. The reversal of 1010122230001 is 1000322210101.

It can be written as a sum of positive squares in 4 ways, for example, as 86939471025 + 923182758976 = 294855^2 + 960824^2 .

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 1010122230001 - 213 = 1010122221809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010122230031) 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, 5834220 + ... + 6004861.

It is an arithmetic number, because the mean of its divisors is an integer number (129407085801).

Almost surely, 21010122230001 is an apocalyptic number.

It is an amenable number.

1010122230001 is a deficient number, since it is larger than the sum of its proper divisors (25134456407).

1010122230001 is a wasteful number, since it uses less digits than its factorization.

1010122230001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841203.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1010122230001 its reverse (1000322210101), we get a palindrome (2010444440102).

The spelling of 1010122230001 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred thirty thousand, one".

Divisors: 1 41 2081 85321 11839081 485402321 24637127561 1010122230001