Search a number
-
+
122111110110 = 23511370033667
BaseRepresentation
bin111000110111001100…
…0111010101111011110
3102200012010121010010210
41301232120322233132
54000040421010420
6132032544513250
711552012211243
oct1615630725736
9380163533123
10122111110110
11478725a1420
121b7ba91b826
13b690695152
145ca58855ca
15329a4b49e0
hex1c6e63abde

122111110110 has 32 divisors (see below), whose sum is σ = 319709089152. Its totient is φ = 29602693280.

The previous prime is 122111110103. The next prime is 122111110129. The reversal of 122111110110 is 11011111221.

It is a super-2 number, since 2×1221111101102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 185016504 + ... + 185017163.

It is an arithmetic number, because the mean of its divisors is an integer number (9990909036).

Almost surely, 2122111110110 is an apocalyptic number.

122111110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122111110110 is an abundant number, since it is smaller than the sum of its proper divisors (197597979042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111110110 is a wasteful number, since it uses less digits than its factorization.

122111110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370033688.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 122111110110 its reverse (11011111221), we get a palindrome (133122221331).

It can be divided in two parts, 122111 and 110110, that added together give a triangular number (232221 = T681).

The spelling of 122111110110 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 370033667 740067334 1110101001 1850168335 2220202002 3700336670 4070370337 5550505005 8140740674 11101010010 12211111011 20351851685 24422222022 40703703370 61055555055 122111110110