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20220112211100 = 22352438669180811
BaseRepresentation
bin1001001100011110111001…
…00110110000110010011100
32122121000122101102101002120
410212033130212300302130
510122241242211223400
6111000554042422540
74154566141653564
oct446173446606234
978530571371076
1020220112211100
11649633522a0aa
122326962801a50
13b38996308429
144dc9314b3da4
15250e88d3dca0
hex1263dc9b0c9c

20220112211100 has 144 divisors (see below), whose sum is σ = 59871308407680. Its totient is φ = 5265997228800.

The previous prime is 20220112211093. The next prime is 20220112211107. The reversal of 20220112211100 is 111221102202.

It is an interprime number because it is at equal distance from previous prime (20220112211093) and next prime (20220112211107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220112211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220112211107) 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, 111739695 + ... + 111920505.

Almost surely, 220220112211100 is an apocalyptic number.

20220112211100 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 20220112211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29935654203840).

20220112211100 is an abundant number, since it is smaller than the sum of its proper divisors (39651196196580).

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

20220112211100 is a wasteful number, since it uses less digits than its factorization.

20220112211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189540 (or 189533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20220112211100 its reverse (111221102202), we get a palindrome (20331333313302).

The spelling of 20220112211100 in words is "twenty trillion, two hundred twenty billion, one hundred twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 8669 12900 17338 26007 34676 43345 52014 86690 104028 130035 173380 180811 216725 260070 361622 372767 433450 520140 542433 650175 723244 745534 866900 904055 1084866 1118301 1300350 1491068 1808110 1863835 2169732 2236602 2600700 2712165 3616220 3727670 4473204 4520275 5424330 5591505 7455340 7774873 9040550 9319175 10848660 11183010 13560825 15549746 18081100 18638350 22366020 23324619 27121650 27957525 31099492 37276700 38874365 46649238 54243300 55915050 77748730 93298476 111830100 116623095 155497460 194371825 233246190 388743650 466492380 583115475 777487300 1166230950 1567450559 2332461900 3134901118 4702351677 6269802236 7837252795 9404703354 15674505590 18809406708 23511758385 31349011180 39186263975 47023516770 67400374037 78372527950 94047033540 117558791925 134800748074 156745055900 202201122111 235117583850 269601496148 337001870185 404402244222 470235167700 674003740370 808804488444 1011005610555 1348007480740 1685009350925 2022011221110 3370018701850 4044022442220 5055028052775 6740037403700 10110056105550 20220112211100