Search a number
-
+
102042204033 = 37111417731159
BaseRepresentation
bin101111100001000110…
…0000111011110000001
3100202101111102001112010
41133002030013132001
53132440301012113
6114513314323133
710241462265060
oct1370214073601
9322344361463
10102042204033
113a304189230
12179398894a9
1398129428b3
144d203841d7
1529c36871c3
hex17c2307781

102042204033 has 32 divisors (see below), whose sum is σ = 169646008320. Its totient is φ = 53003496960.

The previous prime is 102042203987. The next prime is 102042204073. The reversal of 102042204033 is 330402240201.

It is not a de Polignac number, because 102042204033 - 28 = 102042203777 is a prime.

It is a super-2 number, since 2×1020422040332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102042204073) 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, 3259308 + ... + 3290466.

It is an arithmetic number, because the mean of its divisors is an integer number (5301437760).

Almost surely, 2102042204033 is an apocalyptic number.

It is an amenable number.

102042204033 is a deficient number, since it is larger than the sum of its proper divisors (67603804287).

102042204033 is a wasteful number, since it uses less digits than its factorization.

102042204033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45357.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102042204033 its reverse (330402240201), we get a palindrome (432444444234).

The spelling of 102042204033 in words is "one hundred two billion, forty-two million, two hundred four thousand, thirty-three".

Divisors: 1 3 7 11 21 33 77 231 14177 31159 42531 93477 99239 155947 218113 297717 342749 467841 654339 1028247 1091629 2399243 3274887 7197729 441741143 1325223429 3092188001 4859152573 9276564003 14577457719 34014068011 102042204033