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20022200011100 = 22527533671470523
BaseRepresentation
bin1001000110101110010000…
…00111101000100101011100
32121220002210112200220210002
410203113020013220211130
510111020431200323400
6110330023253233432
74134361532012210
oct443271007504534
977802715626702
1020022200011100
11641a404a23a51
1222b452a332878
13b231156c5091
144d31187c4940
1524ac53d21ed5
hex1235c81e895c

20022200011100 has 144 divisors (see below), whose sum is σ = 50729831083008. Its totient is φ = 6716873928960.

The previous prime is 20022200011091. The next prime is 20022200011127. The reversal of 20022200011100 is 111000222002.

It is a happy number.

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, 12880439 + ... + 14350961.

It is an arithmetic number, because the mean of its divisors is an integer number (352290493632).

Almost surely, 220022200011100 is an apocalyptic number.

20022200011100 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 20022200011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364915541504).

20022200011100 is an abundant number, since it is smaller than the sum of its proper divisors (30707631071908).

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

20022200011100 is a wasteful number, since it uses less digits than its factorization.

20022200011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470964 (or 1470957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20022200011100 its reverse (111000222002), we get a palindrome (20133200233102).

The spelling of 20022200011100 in words is "twenty trillion, twenty-two billion, two hundred million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 367 371 530 700 734 742 1060 1325 1468 1484 1835 1855 2569 2650 3670 3710 5138 5300 7340 7420 9175 9275 10276 12845 18350 18550 19451 25690 36700 37100 38902 51380 64225 77804 97255 128450 136157 194510 256900 272314 389020 486275 544628 680785 972550 1361570 1470523 1945100 2723140 2941046 3403925 5882092 6807850 7352615 10293661 13615700 14705230 20587322 29410460 36763075 41174644 51468305 73526150 77937719 102936610 147052300 155875438 205873220 257341525 311750876 389688595 514683050 539681941 545564033 779377190 1029366100 1079363882 1091128066 1558754380 1948442975 2158727764 2182256132 2698409705 2727820165 3777773587 3896885950 5396819410 5455640330 7555547174 7793771900 10793638820 10911280660 13492048525 13639100825 15111094348 18888867935 26984097050 27278201650 28603142873 37777735870 53968194100 54556403300 57206285746 75555471740 94444339675 114412571492 143015714365 188888679350 200222000111 286031428730 377777358700 400444000222 572062857460 715078571825 800888000444 1001110000555 1430157143650 2002220001110 2860314287300 4004440002220 5005550002775 10011100005550 20022200011100