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20220101200 = 2452134194841
BaseRepresentation
bin10010110101001101…
…100100001001010000
31221012011200120100001
4102311031210021100
5312402321214300
613142230535344
71314034011235
oct226515441120
957164616301
1020220101200
1186367a1342
123b03807554
131ba317c430
14d9b61b78c
157d524616a
hex4b5364250

20220101200 has 120 divisors (see below), whose sum is σ = 53592179256. Its totient is φ = 7283712000.

The previous prime is 20220101197. The next prime is 20220101203. The reversal of 20220101200 is 210102202.

It is an interprime number because it is at equal distance from previous prime (20220101197) and next prime (20220101203).

It can be written as a sum of positive squares in 12 ways, for example, as 12385018944 + 7835082256 = 111288^2 + 88516^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165780 + ... + 260620.

Almost surely, 220220101200 is an apocalyptic number.

20220101200 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 20220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26796089628).

20220101200 is an abundant number, since it is smaller than the sum of its proper divisors (33372078056).

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

20220101200 is a wasteful number, since it uses less digits than its factorization.

20220101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94913 (or 94902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20220101200 its reverse (210102202), we get a palindrome (20430203402).

The spelling of 20220101200 in words is "twenty billion, two hundred twenty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 41 50 52 65 80 82 100 104 130 164 200 205 208 260 325 328 400 410 520 533 650 656 820 1025 1040 1066 1300 1640 2050 2132 2600 2665 3280 4100 4264 5200 5330 8200 8528 10660 13325 16400 21320 26650 42640 53300 94841 106600 189682 213200 379364 474205 758728 948410 1232933 1517456 1896820 2371025 2465866 3793640 3888481 4742050 4931732 6164665 7587280 7776962 9484100 9863464 12329330 15553924 18968200 19442405 19726928 24658660 30823325 31107848 37936400 38884810 49317320 50550253 61646650 62215696 77769620 97212025 98634640 101100506 123293300 155539240 194424050 202201012 246586600 252751265 311078480 388848100 404402024 493173200 505502530 777696200 808804048 1011005060 1263756325 1555392400 2022010120 2527512650 4044020240 5055025300 10110050600 20220101200