Search a number
-
+
890106060101 is a prime number
BaseRepresentation
bin11001111001111100111…
…01001001110101000101
310011002112000120212012212
430330332131021311011
5104040414122410401
61520524205553205
7121210441450466
oct14747635116505
93132460525185
10890106060101
11313545736365
12124612875805
1365c23a548bb
143111d390d6d
1518248b1ddbb
hexcf3e749d45

890106060101 has 2 divisors, whose sum is σ = 890106060102. Its totient is φ = 890106060100.

The previous prime is 890106060079. The next prime is 890106060133. The reversal of 890106060101 is 101060601098.

It is an a-pointer prime, because the next prime (890106060133) can be obtained adding 890106060101 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 616837452100 + 273268608001 = 785390^2 + 522751^2 .

It is a cyclic number.

It is not a de Polignac number, because 890106060101 - 226 = 890038951237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (890106060191) 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, 445053030050 + 445053030051.

It is an arithmetic number, because the mean of its divisors is an integer number (445053030051).

Almost surely, 2890106060101 is an apocalyptic number.

It is an amenable number.

890106060101 is a deficient number, since it is larger than the sum of its proper divisors (1).

890106060101 is an equidigital number, since it uses as much as digits as its factorization.

890106060101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

Adding to 890106060101 its reverse (101060601098), we get a palindrome (991166661199).

It can be divided in two parts, 8 and 90106060101, that added together give a palindrome (90106060109).

The spelling of 890106060101 in words is "eight hundred ninety billion, one hundred six million, sixty thousand, one hundred one".