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101200311223 = 1122794742797
BaseRepresentation
bin101111001000000000…
…0100011001110110111
3100200012211020110200221
41132100000203032313
53124224234424343
6114254001515211
710211560311064
oct1362000431667
9320184213627
10101200311223
1139a11a34750
1217743942b07
13970a3b277b
144c80631c6b
1529747d75ed
hex17900233b7

101200311223 has 16 divisors (see below), whose sum is σ = 111006370944. Its totient is φ = 91496136160.

The previous prime is 101200311203. The next prime is 101200311229. The reversal of 101200311223 is 322113002101.

It is not a de Polignac number, because 101200311223 - 29 = 101200310711 is a prime.

It is a super-3 number, since 3×1012003112233 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200311197 and 101200311206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200311229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2343261 + ... + 2386057.

It is an arithmetic number, because the mean of its divisors is an integer number (6937898184).

Almost surely, 2101200311223 is an apocalyptic number.

101200311223 is a deficient number, since it is larger than the sum of its proper divisors (9806059721).

101200311223 is a wasteful number, since it uses less digits than its factorization.

101200311223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43982.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101200311223 its reverse (322113002101), we get a palindrome (423313313324).

The spelling of 101200311223 in words is "one hundred one billion, two hundred million, three hundred eleven thousand, two hundred twenty-three".

Divisors: 1 11 227 947 2497 10417 42797 214969 470767 2364659 9714919 40528759 106864109 445816349 9200028293 101200311223