Search a number
-
+
122111320 = 2353052783
BaseRepresentation
bin1110100011101…
…00010101011000
322111202220020111
413101310111120
5222230030240
620041134104
73011633452
oct721642530
9274686214
10122111320
1162a24051
1234a8a334
131c3b5c26
14123092d2
15aac11ea
hex7474558

122111320 has 16 divisors (see below), whose sum is σ = 274750560. Its totient is φ = 48844512.

The previous prime is 122111299. The next prime is 122111321. The reversal of 122111320 is 23111221.

It is a super-2 number, since 2×1221113202 = 29822348944284800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526352 + ... + 1526431.

It is an arithmetic number, because the mean of its divisors is an integer number (17171910).

Almost surely, 2122111320 is an apocalyptic number.

122111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111320 is an abundant number, since it is smaller than the sum of its proper divisors (152639240).

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

122111320 is a wasteful number, since it uses less digits than its factorization.

122111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052794 (or 3052790 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 122111320 is about 11050.3990878158. The cubic root of 122111320 is about 496.1183705519.

Adding to 122111320 its reverse (23111221), we get a palindrome (145222541).

Subtracting from 122111320 its reverse (23111221), we obtain a palindrome (99000099).

It can be divided in two parts, 12211 and 1320, that added together give a palindrome (13531).

The spelling of 122111320 in words is "one hundred twenty-two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3052783 6105566 12211132 15263915 24422264 30527830 61055660 122111320