Search a number
-
+
102130023331 = 723787806033
BaseRepresentation
bin101111100011101101…
…1000111101110100011
3100202121121122201221201
41133013123013232203
53133130241221311
6114530132502031
710243606606030
oct1370733075643
9322547581851
10102130023331
113a349810166
121796317a917
139827bb008b
144d2bcc4387
1529cb2329c1
hex17c76c7ba3

102130023331 has 16 divisors (see below), whose sum is σ = 121949720064. Its totient is φ = 83627432064.

The previous prime is 102130023329. The next prime is 102130023397. The reversal of 102130023331 is 133320031201.

It is a cyclic number.

It is not a de Polignac number, because 102130023331 - 21 = 102130023329 is a prime.

It is a super-2 number, since 2×1021300233312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102130023299 and 102130023308.

It is not an unprimeable number, because it can be changed into a prime (102130053331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276310 + ... + 529723.

It is an arithmetic number, because the mean of its divisors is an integer number (7621857504).

Almost surely, 2102130023331 is an apocalyptic number.

102130023331 is a deficient number, since it is larger than the sum of its proper divisors (19819696733).

102130023331 is an equidigital number, since it uses as much as digits as its factorization.

102130023331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806850.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 102130023331 its reverse (133320031201), we get a palindrome (235450054532).

The spelling of 102130023331 in words is "one hundred two billion, one hundred thirty million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 23 161 787 5509 18101 126707 806033 5642231 18538759 129771313 634347971 4440435797 14590003333 102130023331