Search a number
-
+
100030132013233 is a prime number
BaseRepresentation
bin10110101111101000010100…
…011111000100100010110001
3111010011210020220000101202211
4112233220110133010202301
5101102343202243410413
6552425112552212121
730032636631055312
oct2657502437044261
9433153226011684
10100030132013233
11299665a4817754
12b27661499a041
1343a7a5497cc86
141a9b6ac9c2609
15b8702ecc383d
hex5afa147c48b1

100030132013233 has 2 divisors, whose sum is σ = 100030132013234. Its totient is φ = 100030132013232.

The previous prime is 100030132013213. The next prime is 100030132013267. The reversal of 100030132013233 is 332310231030001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70885757519424 + 29144374493809 = 8419368^2 + 5398553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100030132013233 is a prime.

It is a super-2 number, since 2×1000301320132332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100030132013213) 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 as a sum of consecutive naturals, namely, 50015066006616 + 50015066006617.

It is an arithmetic number, because the mean of its divisors is an integer number (50015066006617).

Almost surely, 2100030132013233 is an apocalyptic number.

It is an amenable number.

100030132013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100030132013233 is an equidigital number, since it uses as much as digits as its factorization.

100030132013233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100030132013233 its reverse (332310231030001), we get a palindrome (432340363043234).

The spelling of 100030132013233 in words is "one hundred trillion, thirty billion, one hundred thirty-two million, thirteen thousand, two hundred thirty-three".