Search a number
-
+
102330102020301 = 3287611297798349
BaseRepresentation
bin10111010001000110010101…
…011000010111100011001101
3111102022122212202100110220200
4113101012111120113203031
5101403034022104122201
61001345444435404113
730361051215420051
oct2721062530274315
9442278782313820
10102330102020301
112a672a52939691
12b588314153639
1345138c1a7123c
141b3ab36607c61
15bc6c929d8386
hex5d11956178cd

102330102020301 has 12 divisors (see below), whose sum is σ = 147827018855100. Its totient is φ = 68212281170880.

The previous prime is 102330102020273. The next prime is 102330102020323. The reversal of 102330102020301 is 103020201033201.

102330102020301 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 10 + 2 + 0 + 20 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34161383111076 + 68168718909225 = 5844774^2 + 8256435^2 .

It is not a de Polignac number, because 102330102020301 - 229 = 102329565149389 is a prime.

It is a super-2 number, since 2×1023301020203012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330102220301) 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 11 ways as a sum of consecutive naturals, for example, 648820326 + ... + 648978023.

It is an arithmetic number, because the mean of its divisors is an integer number (12318918237925).

Almost surely, 2102330102020301 is an apocalyptic number.

It is an amenable number.

102330102020301 is a deficient number, since it is larger than the sum of its proper divisors (45496916834799).

102330102020301 is a wasteful number, since it uses less digits than its factorization.

102330102020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297807116 (or 1297807113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102330102020301 its reverse (103020201033201), we get a palindrome (205350303053502).

The spelling of 102330102020301 in words is "one hundred two trillion, three hundred thirty billion, one hundred two million, twenty thousand, three hundred one".

Divisors: 1 3 9 8761 26283 78849 1297798349 3893395047 11680185141 11370011335589 34110034006767 102330102020301