Search a number
-
+
123122230220 = 225111949735923
BaseRepresentation
bin111001010101010101…
…0000010001111001100
3102202210121012100011202
41302222222002033030
54004123242331340
6132321144405032
711616040455263
oct1625252021714
9382717170152
10123122230220
114824131a980
121ba41476778
13b7c1cc6982
145d5dc895da
153309140c15
hex1caaa823cc

123122230220 has 96 divisors (see below), whose sum is σ = 297017038080. Its totient is φ = 42399624960.

The previous prime is 123122230219. The next prime is 123122230229. The reversal of 123122230220 is 22032221321.

It is a happy number.

123122230220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123122230192 and 123122230201.

It is not an unprimeable number, because it can be changed into a prime (123122230229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20784179 + ... + 20790101.

It is an arithmetic number, because the mean of its divisors is an integer number (3093927480).

Almost surely, 2123122230220 is an apocalyptic number.

123122230220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123122230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148508519040).

123122230220 is an abundant number, since it is smaller than the sum of its proper divisors (173894807860).

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

123122230220 is a wasteful number, since it uses less digits than its factorization.

123122230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123122230220 its reverse (22032221321), we get a palindrome (145154451541).

The spelling of 123122230220 in words is "one hundred twenty-three billion, one hundred twenty-two million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 4973 5923 9946 11846 19892 23692 24865 29615 49730 54703 59230 65153 94487 99460 109406 112537 118460 130306 188974 218812 225074 260612 273515 325765 377948 450148 472435 547030 562685 651530 944870 1039357 1094060 1125370 1237907 1303060 1889740 2078714 2250740 2475814 4157428 4951628 5196785 6189535 10393570 12379070 20787140 24758140 29455079 58910158 117820316 147275395 294550790 324005869 559646501 589101580 648011738 1119293002 1296023476 1620029345 2238586004 2798232505 3240058690 5596465010 6156111511 6480117380 11192930020 12312223022 24624446044 30780557555 61561115110 123122230220