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22020201113300 = 2252131091030315083
BaseRepresentation
bin1010000000110111110100…
…10000111110011011010100
32212222002222200021020110022
411000123322100332123110
510341234332441111200
6114455535111044312
74431623053116005
oct500337220763324
985862880236408
1022020201113300
11701a795510285
1225777b4970698
13c3965aaa9990
14561ad79c51ac
15282be15a8885
hex1406fa43e6d4

22020201113300 has 144 divisors (see below), whose sum is σ = 51940105620480. Its totient is φ = 8054627765760.

The previous prime is 22020201113279. The next prime is 22020201113321. The reversal of 22020201113300 is 331110202022.

It is an interprime number because it is at equal distance from previous prime (22020201113279) and next prime (22020201113321).

It is a congruent number.

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, 1459927559 + ... + 1459942641.

It is an arithmetic number, because the mean of its divisors is an integer number (360695177920).

Almost surely, 222020201113300 is an apocalyptic number.

22020201113300 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 22020201113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970052810240).

22020201113300 is an abundant number, since it is smaller than the sum of its proper divisors (29919904507180).

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

22020201113300 is a wasteful number, since it uses less digits than its factorization.

22020201113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25522 (or 25515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22020201113300 its reverse (331110202022), we get a palindrome (22351311315322).

The spelling of 22020201113300 in words is "twenty-two trillion, twenty billion, two hundred one million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 109 130 218 260 325 436 545 650 1090 1300 1417 2180 2725 2834 5450 5668 7085 10303 10900 14170 15083 20606 28340 30166 35425 41212 51515 60332 70850 75415 103030 133939 141700 150830 196079 206060 257575 267878 301660 377075 392158 515150 535756 669695 754150 784316 980395 1030300 1123027 1339390 1508300 1644047 1960790 2246054 2678780 3288094 3348475 3921580 4492108 4901975 5615135 6576188 6696950 8220235 9803950 11230270 13393900 14599351 16440470 19607900 21372611 22460540 28075675 29198702 32880940 41101175 42745222 56151350 58397404 72996755 82202350 85490444 106863055 112302700 145993510 155400149 164404700 213726110 291987020 310800298 364983775 427452220 534315275 621600596 729967550 777000745 1068630550 1459935100 1554001490 2020201937 2137261100 3108002980 3885003725 4040403874 7770007450 8080807748 10101009685 15540014900 16938616241 20202019370 33877232482 40404038740 50505048425 67754464964 84693081205 101010096850 169386162410 202020193700 220202011133 338772324820 423465406025 440404022266 846930812050 880808044532 1101010055665 1693861624100 2202020111330 4404040222660 5505050278325 11010100556650 22020201113300