Search a number
-
+
102730033 = 759251991
BaseRepresentation
bin1100001111110…
…00100100110001
321011022020010001
412013320210301
5202244330113
614105510001
72355122320
oct607704461
9234266101
10102730033
1152a9665a
122a4a2301
131838b303
14d9020b7
1590437dd
hex61f8931

102730033 has 16 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 86130000.

The previous prime is 102730027. The next prime is 102730049. The reversal of 102730033 is 330037201.

It is a cyclic number.

It is not a de Polignac number, because 102730033 - 221 = 100632881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102730003) 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 15 ways as a sum of consecutive naturals, for example, 103168 + ... + 104158.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2102730033 is an apocalyptic number.

It is an amenable number.

102730033 is a deficient number, since it is larger than the sum of its proper divisors (17262287).

102730033 is an equidigital number, since it uses as much as digits as its factorization.

102730033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 102730033 is about 10135.5825190267. The cubic root of 102730033 is about 468.3449149108.

Adding to 102730033 its reverse (330037201), we get a palindrome (432767234).

The spelling of 102730033 in words is "one hundred two million, seven hundred thirty thousand, thirty-three".

Divisors: 1 7 59 251 413 991 1757 6937 14809 58469 103663 248741 409283 1741187 14675719 102730033