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101322011213 is a prime number
BaseRepresentation
bin101111001011101000…
…0110011001001001101
3100200112022020110200222
41132113100303021031
53130001413324323
6114314030201125
710214565612413
oct1362720631115
9320468213628
10101322011213
1139a746a7755
12177786531a5
1397296833b7
144c928712b3
1529803269c8
hex179743324d

101322011213 has 2 divisors, whose sum is σ = 101322011214. Its totient is φ = 101322011212.

The previous prime is 101322011183. The next prime is 101322011267. The reversal of 101322011213 is 312110223101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101024172649 + 297838564 = 317843^2 + 17258^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322011213 - 26 = 101322011149 is a prime.

It is a super-2 number, since 2×1013220112132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322011191 and 101322011200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101322013213) 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 as a sum of consecutive naturals, namely, 50661005606 + 50661005607.

It is an arithmetic number, because the mean of its divisors is an integer number (50661005607).

Almost surely, 2101322011213 is an apocalyptic number.

It is an amenable number.

101322011213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322011213 is an equidigital number, since it uses as much as digits as its factorization.

101322011213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101322011213 its reverse (312110223101), we get a palindrome (413432234314).

The spelling of 101322011213 in words is "one hundred one billion, three hundred twenty-two million, eleven thousand, two hundred thirteen".