Search a number
-
+
2022111020100 = 22352149111740499
BaseRepresentation
bin11101011011001111001…
…101011000010001000100
321011022102101122001101110
4131123033031120101010
5231112240410120400
64144540040525020
7266043540034353
oct35331715302104
97138371561343
102022111020100
1170a632a55516
12287a94a80770
131188b83b7b12
146dc2928d99a
15378ee23ae50
hex1d6cf358444

2022111020100 has 144 divisors (see below), whose sum is σ = 5895325800000. Its totient is φ = 535117893120.

The previous prime is 2022111020081. The next prime is 2022111020147. The reversal of 2022111020100 is 10201112202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49909651 + ... + 49950149.

It is an arithmetic number, because the mean of its divisors is an integer number (40939762500).

Almost surely, 22022111020100 is an apocalyptic number.

2022111020100 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 2022111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947662900000).

2022111020100 is an abundant number, since it is smaller than the sum of its proper divisors (3873214779900).

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

2022111020100 is a wasteful number, since it uses less digits than its factorization.

2022111020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41782 (or 41775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2022111020100 its reverse (10201112202), we get a palindrome (2032312132302).

The spelling of 2022111020100 in words is "two trillion, twenty-two billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1117 1490 1788 2234 2235 2980 3351 3725 4468 4470 5585 6702 7450 8940 11170 11175 13404 14900 16755 22340 22350 27925 33510 40499 44700 55850 67020 80998 83775 111700 121497 161996 166433 167550 202495 242994 332866 335100 404990 485988 499299 607485 665732 809980 832165 998598 1012475 1214970 1664330 1997196 2024950 2429940 2496495 3037425 3328660 4049900 4160825 4992990 6034351 6074850 8321650 9985980 12068702 12149700 12482475 16643300 18103053 24137404 24964950 30171755 36206106 45237383 49929900 60343510 72412212 90474766 90515265 120687020 135712149 150858775 180949532 181030530 226186915 271424298 301717550 362061060 452373830 452576325 542848596 603435100 678560745 904747660 905152650 1130934575 1357121490 1810305300 2261869150 2714242980 3392803725 4523738300 6740370067 6785607450 13480740134 13571214900 20221110201 26961480268 33701850335 40442220402 67403700670 80884440804 101105551005 134807401340 168509251675 202211102010 337018503350 404422204020 505527755025 674037006700 1011055510050 2022111020100