Search a number
-
+
102001230032 = 2413618039189
BaseRepresentation
bin101111011111110111…
…1110100000011010000
3100202021122022100202112
41132333233310003100
53132344303330112
6114505252204452
710240454102252
oct1367757640320
9322248270675
10102001230032
113a293042919
1217928009728
1398072c7920
144d18b59cd2
1529bec91a22
hex17bfbf40d0

102001230032 has 40 divisors (see below), whose sum is σ = 216318524520. Its totient is φ = 46305722880.

The previous prime is 102001230017. The next prime is 102001230041. The reversal of 102001230032 is 230032100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4129861696 + 97871368336 = 64264^2 + 312844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102001229989 and 102001230016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4006907 + ... + 4032282.

It is an arithmetic number, because the mean of its divisors is an integer number (5407963113).

Almost surely, 2102001230032 is an apocalyptic number.

It is an amenable number.

102001230032 is an abundant number, since it is smaller than the sum of its proper divisors (114317294488).

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

102001230032 is a wasteful number, since it uses less digits than its factorization.

102001230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8039271 (or 8039265 counting only the distinct ones).

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

Adding to 102001230032 its reverse (230032100201), we get a palindrome (332033330233).

The spelling of 102001230032 in words is "one hundred two billion, one million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 6344 12688 8039189 16078378 32156756 64313512 104509457 128627024 209018914 418037828 490390529 836075656 980781058 1672151312 1961562116 3923124232 6375076877 7846248464 12750153754 25500307508 51000615016 102001230032