Search a number
-
+
102153127364 = 221712497120209
BaseRepresentation
bin101111100100011001…
…1010000010111000100
3100202200020010112201122
41133020303100113010
53133202200033424
6114532320013112
710244310153521
oct1371063202704
9322606115648
10102153127364
113a360860602
121796aa61198
13982c90c2c2
144d30dba148
1529cd29845e
hex17c8cd05c4

102153127364 has 24 divisors (see below), whose sum is σ = 189300457080. Its totient is φ = 48067813376.

The previous prime is 102153127333. The next prime is 102153127367. The reversal of 102153127364 is 463721351201.

It can be written as a sum of positive squares in 4 ways, for example, as 7878337600 + 94274789764 = 88760^2 + 307042^2 .

It is a super-2 number, since 2×1021531273642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102153127367) 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 7 ways as a sum of consecutive naturals, for example, 789692 + ... + 909900.

It is an arithmetic number, because the mean of its divisors is an integer number (7887519045).

Almost surely, 2102153127364 is an apocalyptic number.

It is an amenable number.

102153127364 is a deficient number, since it is larger than the sum of its proper divisors (87147329716).

102153127364 is a wasteful number, since it uses less digits than its factorization.

102153127364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132727 (or 132725 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 102153127364 its reverse (463721351201), we get a palindrome (565874478565).

The spelling of 102153127364 in words is "one hundred two billion, one hundred fifty-three million, one hundred twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 17 34 68 12497 24994 49988 120209 212449 240418 424898 480836 849796 2043553 4087106 8174212 1502251873 3004503746 6009007492 25538281841 51076563682 102153127364