Search a number
-
+
2022002130000 = 2435467400071
BaseRepresentation
bin11101011011001000101…
…101111111110001010000
321011022010210201212020210
4131123020231333301100
5231112030021130000
64144521151004120
7266041045344456
oct35331055776120
97138123655223
102022002130000
1170a5875417a6
12287a64509640
1311889b9809c8
146dc18a269d6
15378e48cc350
hex1d6c8b7fc50

2022002130000 has 100 divisors (see below), whose sum is σ = 6527292572768. Its totient is φ = 539200560000.

The previous prime is 2022002129989. The next prime is 2022002130017. The reversal of 2022002130000 is 312002202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×20220021300002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 33670036 + ... + 33730035.

Almost surely, 22022002130000 is an apocalyptic number.

2022002130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022002130000 is an abundant number, since it is smaller than the sum of its proper divisors (4505290442768).

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

2022002130000 is an equidigital number, since it uses as much as digits as its factorization.

2022002130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67400102 (or 67400081 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2022002130000 its reverse (312002202), we get a palindrome (2022314132202).

The spelling of 2022002130000 in words is "two trillion, twenty-two billion, two million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 67400071 134800142 202200213 269600284 337000355 404400426 539200568 674000710 808800852 1011001065 1078401136 1348001420 1617601704 1685001775 2022002130 2696002840 3235203408 3370003550 4044004260 5055005325 5392005680 6740007100 8088008520 8425008875 10110010650 13480014200 16176017040 16850017750 20220021300 25275026625 26960028400 33700035500 40440042600 42125044375 50550053250 67400071000 80880085200 84250088750 101100106500 126375133125 134800142000 168500177500 202200213000 252750266250 337000355000 404400426000 505500532500 674000710000 1011001065000 2022002130000