Search a number
-
+
122202120001 = 1331303231067
BaseRepresentation
bin111000111001111010…
…0000101111101000001
3102200102110211220020111
41301303310011331001
54000232220320001
6132045555311321
711554165611223
oct1616364057501
9380373756214
10122202120001
1147909a02505
121b8252ab541
13b6a64ab960
145cb39b6413
1532a3490851
hex1c73d05f41

122202120001 has 8 divisors (see below), whose sum is σ = 135847518464. Its totient is φ = 109163183760.

The previous prime is 122202119989. The next prime is 122202120011. The reversal of 122202120001 is 100021202221.

It is a happy number.

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 122202120001 - 25 = 122202119969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122202120011) 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, 151615131 + ... + 151615936.

It is an arithmetic number, because the mean of its divisors is an integer number (16980939808).

Almost surely, 2122202120001 is an apocalyptic number.

It is an amenable number.

122202120001 is a deficient number, since it is larger than the sum of its proper divisors (13645398463).

122202120001 is a wasteful number, since it uses less digits than its factorization.

122202120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303231111.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122202120001 its reverse (100021202221), we get a palindrome (222223322222).

The spelling of 122202120001 in words is "one hundred twenty-two billion, two hundred two million, one hundred twenty thousand, one".

Divisors: 1 13 31 403 303231067 3942003871 9400163077 122202120001