Search a number
-
+
2222122102123 = 71131930926729
BaseRepresentation
bin100000010101100000110…
…011000110110101101011
321212102200111202202120011
4200111200303012311223
5242401401224231443
64420455004312351
7316354154135440
oct40254063066553
97772614682504
102222122102123
1178743aaa5810
122ba7b42426b7
13131711ab71b1
14797a0a179c7
153cc0864db9d
hex20560cc6d6b

2222122102123 has 16 divisors (see below), whose sum is σ = 2859806914560. Its totient is φ = 1675668110400.

The previous prime is 2222122102111. The next prime is 2222122102133. The reversal of 2222122102123 is 3212012212222.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222122102123 is a prime.

It is a super-2 number, since 2×22221221021232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2222122102094 and 2222122102103.

It is not an unprimeable number, because it can be changed into a prime (2222122102103) 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 15 ways as a sum of consecutive naturals, for example, 465460978 + ... + 465465751.

It is an arithmetic number, because the mean of its divisors is an integer number (178737932160).

Almost surely, 22222122102123 is an apocalyptic number.

2222122102123 is a deficient number, since it is larger than the sum of its proper divisors (637684812437).

2222122102123 is a wasteful number, since it uses less digits than its factorization.

2222122102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930926778.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2222122102123 its reverse (3212012212222), we get a palindrome (5434134314345).

The spelling of 2222122102123 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-three".

Divisors: 1 7 11 31 77 217 341 2387 930926729 6516487103 10240194019 28858728599 71681358133 202011100193 317446014589 2222122102123