Search a number
-
+
22113300303031 = 72163181121712569
BaseRepresentation
bin1010000011100101001110…
…11010001100110010110111
32220022000021220211002122111
411001302213122030302313
510344301014334144111
6115010413201511451
74441430124144100
oct501624732146267
986260256732574
1022113300303031
11705621a58a4a3
122591857642587
13c45376a02222
1456640a3493a7
1528533ea6da21
hex141ca768ccb7

22113300303031 has 48 divisors (see below), whose sum is σ = 26047896507360. Its totient is φ = 18717013647360.

The previous prime is 22113300303023. The next prime is 22113300303041. The reversal of 22113300303031 is 13030300331122.

It is not a de Polignac number, because 22113300303031 - 23 = 22113300303023 is a prime.

It is a super-2 number, since 2×221133003030312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22113300302993 and 22113300303011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113300303001) 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, 1759346115 + ... + 1759358683.

It is an arithmetic number, because the mean of its divisors is an integer number (542664510570).

Almost surely, 222113300303031 is an apocalyptic number.

22113300303031 is a deficient number, since it is larger than the sum of its proper divisors (3934596204329).

22113300303031 is a wasteful number, since it uses less digits than its factorization.

22113300303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144 (or 14137 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 22113300303031 its reverse (13030300331122), we get a palindrome (35143600634153).

The spelling of 22113300303031 in words is "twenty-two trillion, one hundred thirteen billion, three hundred million, three hundred three thousand, thirty-one".

Divisors: 1 7 49 163 181 1141 1217 1267 7987 8519 8869 12569 29503 59633 87983 198371 206521 220277 615881 1388597 1445647 1541939 2048747 2274989 9720179 10793573 14341229 15296473 15924923 35905151 100388603 107075311 111474461 251336057 370823207 749527177 1759352399 2493325099 2595762449 2768661613 17453275693 18170337143 19380631291 122172929851 135664419037 451291842919 3159042900433 22113300303031