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22201211102000 = 245372910154493
BaseRepresentation
bin1010000110001000111110…
…10011010010001100110000
32220121102012120111101201212
411003010133103102030300
510402221040020231000
6115115032351215252
74450661464461410
oct503043723221460
986542176441655
1022201211102000
11708a531978967
1225a68b0817528
13c50746a47a78
1456a7899ac640
152877877b7c35
hex14311f4d2330

22201211102000 has 160 divisors (see below), whose sum is σ = 61354695202944. Its totient is φ = 7611442560000.

The previous prime is 22201211101981. The next prime is 22201211102089. The reversal of 22201211102000 is 20111210222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407386754 + ... + 407441246.

Almost surely, 222201211102000 is an apocalyptic number.

22201211102000 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 22201211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30677347601472).

22201211102000 is an abundant number, since it is smaller than the sum of its proper divisors (39153484100944).

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

22201211102000 is a wasteful number, since it uses less digits than its factorization.

22201211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83624 (or 83608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22201211102000 its reverse (20111210222), we get a palindrome (22221322312222).

The spelling of 22201211102000 in words is "twenty-two trillion, two hundred one billion, two hundred eleven million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 29101 54493 58202 108986 116404 145505 203707 217972 232808 272465 291010 381451 407414 435944 465616 544930 582020 727525 762902 814828 871888 1018535 1089860 1164040 1362325 1455050 1525804 1629656 1907255 2037070 2179720 2328080 2724650 2910100 3051608 3259312 3637625 3814510 4074140 4359440 5092675 5449300 5820200 6103216 6811625 7275250 7629020 8148280 9536275 10185350 10898600 11640400 13623250 14550500 15258040 16296560 19072550 20370700 21797200 25463375 27246500 29101000 30516080 38145100 40741400 47681375 50926750 54493000 58202000 76290200 81482800 95362750 101853500 108986000 152580400 190725500 203707000 381451000 407414000 762902000 1585800793 3171601586 6343203172 7929003965 11100605551 12686406344 15858007930 22201211102 25372812688 31716015860 39645019825 44402422204 55503027755 63432031720 79290039650 88804844408 111006055510 126864063440 158580079300 177609688816 198225099125 222012111020 277515138775 317160158600 396450198250 444024222040 555030277550 634320317200 792900396500 888048444080 1110060555100 1387575693875 1585800793000 2220121110200 2775151387750 3171601586000 4440242220400 5550302775500 11100605551000 22201211102000