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123313220 = 225291071987
BaseRepresentation
bin1110101100110…
…01110001000100
322121000221221022
413112121301010
5223032010340
620123010312
73025100522
oct726316104
9277027838
10123313220
1163675058
1235369998
131c717004
141253d312
15ac5c3b5
hex7599c44

123313220 has 48 divisors (see below), whose sum is σ = 270527040. Its totient is φ = 47155584.

The previous prime is 123313219. The next prime is 123313231. The reversal of 123313220 is 22313321.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61067 + ... + 63053.

It is an arithmetic number, because the mean of its divisors is an integer number (5635980).

Almost surely, 2123313220 is an apocalyptic number.

123313220 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 123313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135263520).

123313220 is an abundant number, since it is smaller than the sum of its proper divisors (147213820).

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

123313220 is a wasteful number, since it uses less digits than its factorization.

123313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 123313220 is about 11104.6485761594. The cubic root of 123313220 is about 497.7407671087.

Adding to 123313220 its reverse (22313321), we get a palindrome (145626541).

It can be divided in two parts, 12331 and 3220, that added together give a palindrome (15551).

The spelling of 123313220 in words is "one hundred twenty-three million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 428 535 580 1070 1987 2140 3103 3974 6206 7948 9935 12412 15515 19870 31030 39740 57623 62060 115246 212609 230492 288115 425218 576230 850436 1063045 1152460 2126090 4252180 6165661 12331322 24662644 30828305 61656610 123313220