Search a number
-
+
2230022030013 = 35193491383961
BaseRepresentation
bin100000011100110111101…
…010111100001010111101
321220012002001212200100000
4200130313222330022331
5243014041114430023
64424242531224513
7320054011333251
oct40346752741275
97805061780300
102230022030013
1178a824332538
12300239a48139
131323a068ca3b
1479d0dcb2261
153d01be7d243
hex20737abc2bd

2230022030013 has 48 divisors (see below), whose sum is σ = 3526335176000. Its totient is φ = 1404398321280.

The previous prime is 2230022030009. The next prime is 2230022030029. The reversal of 2230022030013 is 3100302200322.

It is a happy number.

It is not a de Polignac number, because 2230022030013 - 22 = 2230022030009 is a prime.

It is a super-3 number, since 3×22300220300133 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230022030713) 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 in 47 ways as a sum of consecutive naturals, for example, 919353 + ... + 2303313.

Almost surely, 22230022030013 is an apocalyptic number.

It is an amenable number.

2230022030013 is a deficient number, since it is larger than the sum of its proper divisors (1296313145987).

2230022030013 is a wasteful number, since it uses less digits than its factorization.

2230022030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384344 (or 1384332 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2230022030013 its reverse (3100302200322), we get a palindrome (5330324230335).

The spelling of 2230022030013 in words is "two trillion, two hundred thirty billion, twenty-two million, thirty thousand, thirteen".

Divisors: 1 3 9 19 27 57 81 171 243 349 513 1047 1539 3141 4617 6631 9423 19893 28269 59679 84807 179037 537111 1383961 1611333 4151883 12455649 26295259 37366947 78885777 112100841 236657331 336302523 483002389 709971993 1449007167 2129915979 4347021501 6389747937 9177045391 13041064503 27531136173 39123193509 82593408519 117369580527 247780225557 743340676671 2230022030013