Search a number
-
+
122101110121003 = 13113392292118803
BaseRepresentation
bin11011110000110011100001…
…010010111010001000101011
3121000022202022022011012212221
4123300303201102322020223
5112001001033142333003
61111404250422414511
734501341222426136
oct3360634122721053
9530282268135787
10122101110121003
11359a5876548472
121184001a891437
1353191154860c0
142221a2219521d
15e1b1e40527bd
hex6f0ce14ba22b

122101110121003 has 16 divisors (see below), whose sum is σ = 132660606748320. Its totient is φ = 111708394366464.

The previous prime is 122101110120973. The next prime is 122101110121033. The reversal of 122101110121003 is 300121011101221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122101110120973) and next prime (122101110121033).

It is a cyclic number.

It is not a de Polignac number, because 122101110121003 - 29 = 122101110120491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101110121033) 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 15 ways as a sum of consecutive naturals, for example, 56568000 + ... + 58686802.

It is an arithmetic number, because the mean of its divisors is an integer number (8291287921770).

Almost surely, 2122101110121003 is an apocalyptic number.

122101110121003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122101110121003 is a deficient number, since it is larger than the sum of its proper divisors (10559496627317).

122101110121003 is a wasteful number, since it uses less digits than its factorization.

122101110121003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158158.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 122101110121003 its reverse (300121011101221), we get a palindrome (422222121222224).

The spelling of 122101110121003 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred ten million, one hundred twenty-one thousand, three".

Divisors: 1 13 113 1469 39229 509977 2118803 4432877 27544439 57627401 239424739 3112521607 83118522887 1080540797531 9392393086231 122101110121003