Search a number
-
+
2122203300030 = 2325114993429329
BaseRepresentation
bin11110111000011101001…
…011001000000010111110
321111212202222220200220100
4132320131023020002332
5234232233021100110
64302532101501530
7306216114262512
oct36703513100276
97455688820810
102122203300030
11749026489920
122a33697118a6
1312517a067168
1474a02692142
153a30b602bc0
hex1ee1d2c80be

2122203300030 has 96 divisors (see below), whose sum is σ = 6020559848160. Its totient is φ = 514369290240.

The previous prime is 2122203300023. The next prime is 2122203300037. The reversal of 2122203300030 is 300033022212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2122203300023) and next prime (2122203300037).

It is a super-3 number, since 3×21222033000303 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122203299976 and 2122203300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122203300037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4728406 + ... + 5157734.

It is an arithmetic number, because the mean of its divisors is an integer number (62714165085).

Almost surely, 22122203300030 is an apocalyptic number.

2122203300030 is an abundant number, since it is smaller than the sum of its proper divisors (3898356548130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122203300030 is a wasteful number, since it uses less digits than its factorization.

2122203300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434346 (or 434343 counting only the distinct ones).

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

Adding to 2122203300030 its reverse (300033022212), we get a palindrome (2422236322242).

The spelling of 2122203300030 in words is "two trillion, one hundred twenty-two billion, two hundred three million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 4993 9986 14979 24965 29958 44937 49930 54923 74895 89874 109846 149790 164769 224685 274615 329538 429329 449370 494307 549230 823845 858658 988614 1287987 1647690 2146645 2471535 2575974 3863961 4293290 4722619 4943070 6439935 7727922 9445238 12879870 14167857 19319805 23613095 28335714 38639610 42503571 47226190 70839285 85007142 141678570 212517855 425035710 2143639697 4287279394 6430919091 10718198485 12861838182 19292757273 21436396970 23580036667 32154595455 38585514546 47160073334 64309190910 70740110001 96463786365 117900183335 141480220002 192927572730 212220330003 235800366670 353700550005 424440660006 707401100010 1061101650015 2122203300030