Search a number
-
+
10302210320 = 245128777629
BaseRepresentation
bin10011001100000111…
…10100000100010000
3222120222102111202012
421212003310010100
5132044331212240
64422140042052
7513204225413
oct114603640420
928528374665
1010302210320
114407369106
121bb6233328
13c824b034c
146da34db7a
154046a6b65
hex2660f4110

10302210320 has 20 divisors (see below), whose sum is σ = 23952639180. Its totient is φ = 4120884096.

The previous prime is 10302210313. The next prime is 10302210353. The reversal of 10302210320 is 2301220301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3293841664 + 7008368656 = 57392^2 + 83716^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×103022103202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302210295 and 10302210304.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64388735 + ... + 64388894.

It is an arithmetic number, because the mean of its divisors is an integer number (1197631959).

Almost surely, 210302210320 is an apocalyptic number.

10302210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302210320 is an abundant number, since it is smaller than the sum of its proper divisors (13650428860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10302210320 is a wasteful number, since it uses less digits than its factorization.

10302210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128777642 (or 128777636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10302210320 its reverse (2301220301), we get a palindrome (12603430621).

The spelling of 10302210320 in words is "ten billion, three hundred two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128777629 257555258 515110516 643888145 1030221032 1287776290 2060442064 2575552580 5151105160 10302210320