Search a number
-
+
101011313223 = 3399716672251
BaseRepresentation
bin101111000010010111…
…1100101001001000111
3100122201122121101012000
41132010233211021013
53123332344010343
6114223131000343
710204103665362
oct1360457451107
9318648541160
10101011313223
1139925286757
12176b05990b3
1396aa1ab132
144c634b50d9
152962e02ed3
hex1784be5247

101011313223 has 32 divisors (see below), whose sum is σ = 149952933120. Its totient is φ = 67203108000.

The previous prime is 101011313203. The next prime is 101011313231. The reversal of 101011313223 is 322313110101.

It is not a de Polignac number, because 101011313223 - 25 = 101011313191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011313196 and 101011313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44872848 + ... + 44875098.

It is an arithmetic number, because the mean of its divisors is an integer number (4686029160).

Almost surely, 2101011313223 is an apocalyptic number.

101011313223 is a deficient number, since it is larger than the sum of its proper divisors (48941619897).

101011313223 is a wasteful number, since it uses less digits than its factorization.

101011313223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101011313223 its reverse (322313110101), we get a palindrome (423324423324).

The spelling of 101011313223 in words is "one hundred one billion, eleven million, three hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 27 997 1667 2251 2991 5001 6753 8973 15003 20259 26919 45009 60777 1661999 2244247 3752417 4985997 6732741 11257251 14957991 20198223 33771753 44873973 60594669 101315259 3741159749 11223479247 33670437741 101011313223