Search a number
-
+
2202102022003 = 1317107659141311
BaseRepresentation
bin100000000010110111100…
…000100011111101110011
321210112000021110022120021
4200002313200203331303
5242034401104201003
64403344240424311
7315045066230062
oct40026740437563
97715007408507
102202102022003
117799a7201254
122b6947618097
1312c8711cb840
1478821bc61d9
153c435c682bd
hex200b7823f73

2202102022003 has 32 divisors (see below), whose sum is σ = 2538325278720. Its totient is φ = 1892369256960.

The previous prime is 2202102021989. The next prime is 2202102022063. The reversal of 2202102022003 is 3002202012022.

It is not a de Polignac number, because 2202102022003 - 217 = 2202101890931 is a prime.

It is a super-3 number, since 3×22021020220033 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2202102022063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15512718 + ... + 15654028.

It is an arithmetic number, because the mean of its divisors is an integer number (79322664960).

Almost surely, 22202102022003 is an apocalyptic number.

2202102022003 is a deficient number, since it is larger than the sum of its proper divisors (336223256717).

2202102022003 is a wasteful number, since it uses less digits than its factorization.

2202102022003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142107.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2202102022003 its reverse (3002202012022), we get a palindrome (5204304034025).

The spelling of 2202102022003 in words is "two trillion, two hundred two billion, one hundred two million, twenty-two thousand, three".

Divisors: 1 13 17 107 221 659 1391 1819 8567 11203 23647 70513 141311 145639 916669 1198721 1837043 2402287 15120277 15583373 31229731 93123949 196563601 257044709 1210611337 1583107133 3341581217 9964262543 20580392729 129535413059 169392463231 2202102022003