Search a number
-
+
122442205340 = 22571367275937
BaseRepresentation
bin111001000001000011…
…1111100100010011100
3102201001012121111102002
41302002013330202130
54001230201032330
6132125453221432
711563142400410
oct1620207744234
9381035544362
10122442205340
1147a22484144
121b891791878
13b71415c5a0
145cd7830d40
1532b95b6e45
hex1c821fc89c

122442205340 has 48 divisors (see below), whose sum is σ = 316466012352. Its totient is φ = 38750939136.

The previous prime is 122442205273. The next prime is 122442205367. The reversal of 122442205340 is 43502244221.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33636149 + ... + 33639788.

It is an arithmetic number, because the mean of its divisors is an integer number (6593041924).

Almost surely, 2122442205340 is an apocalyptic number.

122442205340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122442205340 is an abundant number, since it is smaller than the sum of its proper divisors (194023807012).

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

122442205340 is a wasteful number, since it uses less digits than its factorization.

122442205340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67275966 (or 67275964 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 122442205340 its reverse (43502244221), we get a palindrome (165944449561).

The spelling of 122442205340 in words is "one hundred twenty-two billion, four hundred forty-two million, two hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 67275937 134551874 269103748 336379685 470931559 672759370 874587181 941863118 1345518740 1749174362 1883726236 2354657795 3498348724 4372935905 4709315590 6122110267 8745871810 9418631180 12244220534 17491743620 24488441068 30610551335 61221102670 122442205340