Search a number
-
+
122310222001 = 1122386942349
BaseRepresentation
bin111000111101001000…
…0011110000010110001
3102200201000021001022021
41301322100132002301
54000442404101001
6132104420311441
711556650506342
oct1617220360261
9380630231267
10122310222001
1147964a28100
121b855542581
13b6c29cb136
145cc40b60c9
1532acbe5ba1
hex1c7a41e0b1

122310222001 has 12 divisors (see below), whose sum is σ = 134448968500. Its totient is φ = 111183827040.

The previous prime is 122310221983. The next prime is 122310222007. The reversal of 122310222001 is 100222013221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109510693776 + 12799528225 = 330924^2 + 113135^2 .

It is not a de Polignac number, because 122310222001 - 215 = 122310189233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122310222007) 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 11 ways as a sum of consecutive naturals, for example, 2866975 + ... + 2909323.

Almost surely, 2122310222001 is an apocalyptic number.

122310222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122310222001 is a deficient number, since it is larger than the sum of its proper divisors (12138746499).

122310222001 is a wasteful number, since it uses less digits than its factorization.

122310222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66240 (or 66229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122310222001 its reverse (100222013221), we get a palindrome (222532235222).

The spelling of 122310222001 in words is "one hundred twenty-two billion, three hundred ten million, two hundred twenty-two thousand, one".

Divisors: 1 11 121 23869 42349 262559 465839 2888149 5124229 1010828281 11119111091 122310222001