Search a number
-
+
2022001101100 = 2252292917239027
BaseRepresentation
bin11101011011001000101…
…010000100100100101100
321011022010201210120212101
4131123020222010210230
5231112024240213400
64144521112544444
7266041033530661
oct35331052044454
97138121716771
102022001101100
1170a5869a9772
12287a640b2124
1311889b6b05a6
146dc18839a68
15378e477756a
hex1d6c8a8492c

2022001101100 has 72 divisors (see below), whose sum is σ = 4540618913040. Its totient is φ = 780639793920.

The previous prime is 2022001101083. The next prime is 2022001101137. The reversal of 2022001101100 is 11011002202.

It is a super-2 number, since 2×20220011011002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8339787 + ... + 8578813.

It is an arithmetic number, because the mean of its divisors is an integer number (63064151570).

Almost surely, 22022001101100 is an apocalyptic number.

2022001101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270309456520).

2022001101100 is an abundant number, since it is smaller than the sum of its proper divisors (2518617811940).

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

2022001101100 is a wasteful number, since it uses less digits than its factorization.

2022001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241987 (or 241980 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2022001101100 its reverse (11011002202), we get a palindrome (2033012103302).

The spelling of 2022001101100 in words is "two trillion, twenty-two billion, one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 2917 5834 11668 14585 29170 58340 72925 84593 145850 169186 239027 291700 338372 422965 478054 845930 956108 1195135 1691860 2114825 2390270 4229650 4780540 5975675 6931783 8459300 11951350 13863566 23902700 27727132 34658915 69317830 138635660 173294575 346589150 693178300 697241759 1394483518 2788967036 3486208795 6972417590 13944835180 17431043975 20220011011 34862087950 40440022022 69724175900 80880044044 101100055055 202200110110 404400220220 505500275275 1011000550550 2022001101100