Search a number
-
+
122431005 = 32547107541
BaseRepresentation
bin1110100110000…
…10011000011101
322112101010202200
413103002120131
5222320243010
620052042113
73014434464
oct723023035
9275333680
10122431005
1163122254
1235003339
131c4985a8
141238d9db
15ab35cc0
hex74c261d

122431005 has 48 divisors (see below), whose sum is σ = 219158784. Its totient is φ = 63192960.

The previous prime is 122430989. The next prime is 122431031. The reversal of 122431005 is 500134221.

It is not a de Polignac number, because 122431005 - 24 = 122430989 is a prime.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 226035 + ... + 226575.

It is an arithmetic number, because the mean of its divisors is an integer number (4565808).

Almost surely, 2122431005 is an apocalyptic number.

122431005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122431005 is a deficient number, since it is larger than the sum of its proper divisors (96727779).

122431005 is a wasteful number, since it uses less digits than its factorization.

122431005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122431005 is about 11064.8544952024. The cubic root of 122431005 is about 496.5509359547.

Adding to 122431005 its reverse (500134221), we get a palindrome (622565226).

The spelling of 122431005 in words is "one hundred twenty-two million, four hundred thirty-one thousand, five".

Divisors: 1 3 5 9 15 45 47 107 141 235 321 423 535 541 705 963 1605 1623 2115 2705 4815 4869 5029 8115 15087 24345 25145 25427 45261 57887 75435 76281 127135 173661 226305 228843 289435 381405 520983 868305 1144215 2604915 2720689 8162067 13603445 24486201 40810335 122431005