Search a number
-
+
10001020331201 = 31322613559071
BaseRepresentation
bin1001000110001000101101…
…0000111010010011000001
31022102002101022011110002212
42101202023100322103001
52302324042201044301
633134223314151505
72051356415123654
oct221421320722301
938362338143085
1010001020331201
113206455283a49
121156321582595
135771276637b3
142680a284d89b
151252397dd4bb
hex9188b43a4c1

10001020331201 has 4 divisors (see below), whose sum is σ = 10323633890304. Its totient is φ = 9678406772100.

The previous prime is 10001020331171. The next prime is 10001020331219. The reversal of 10001020331201 is 10213302010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001020331201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001020631201) 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 in 3 ways as a sum of consecutive naturals, for example, 161306779505 + ... + 161306779566.

It is an arithmetic number, because the mean of its divisors is an integer number (2580908472576).

Almost surely, 210001020331201 is an apocalyptic number.

It is an amenable number.

10001020331201 is a deficient number, since it is larger than the sum of its proper divisors (322613559103).

10001020331201 is an equidigital number, since it uses as much as digits as its factorization.

10001020331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322613559102.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10001020331201 its reverse (10213302010001), we get a palindrome (20214322341202).

The spelling of 10001020331201 in words is "ten trillion, one billion, twenty million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 31 322613559071 10001020331201