Search a number
-
+
120102022001 = 1340012309077
BaseRepresentation
bin110111111011010100…
…0110110101101110001
3102111000010010212101002
41233312220312231301
53431432104201001
6131101335051345
711451145225433
oct1576650665561
9374003125332
10120102022001
1146a31507825
121b339b10b55
13b430388310
145b54b02653
1531cde0946b
hex1bf6a36b71

120102022001 has 8 divisors (see below), whose sum is σ = 129373022184. Its totient is φ = 110835648000.

The previous prime is 120102021983. The next prime is 120102022057. The reversal of 120102022001 is 100220201021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2442731776 + 117659290225 = 49424^2 + 343015^2 .

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 120102022001 - 218 = 120101759857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120102022091) 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, 1102526 + ... + 1206551.

It is an arithmetic number, because the mean of its divisors is an integer number (16171627773).

Almost surely, 2120102022001 is an apocalyptic number.

It is an amenable number.

120102022001 is a deficient number, since it is larger than the sum of its proper divisors (9271000183).

120102022001 is a wasteful number, since it uses less digits than its factorization.

120102022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313091.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120102022001 its reverse (100220201021), we get a palindrome (220322223022).

The spelling of 120102022001 in words is "one hundred twenty billion, one hundred two million, twenty-two thousand, one".

Divisors: 1 13 4001 52013 2309077 30018001 9238617077 120102022001