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201222110100 = 2235211161937663
BaseRepresentation
bin1011101101100111000…
…1011011101110010100
3201020101111220022101110
42323121301123232110
511244100330010400
6232235024055020
720352320500134
oct2733161335624
9636344808343
10201222110100
11783796a9650
1232bb8a64470
1315c8a58534b
149a4c528ac4
15537a8cae50
hex2ed9c5bb94

201222110100 has 144 divisors (see below), whose sum is σ = 635539322880. Its totient is φ = 48749692800.

The previous prime is 201222110093. The next prime is 201222110143. The reversal of 201222110100 is 1011222102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5323869 + ... + 5361531.

It is an arithmetic number, because the mean of its divisors is an integer number (4413467520).

Almost surely, 2201222110100 is an apocalyptic number.

201222110100 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 201222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317769661440).

201222110100 is an abundant number, since it is smaller than the sum of its proper divisors (434317212780).

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

201222110100 is a wasteful number, since it uses less digits than its factorization.

201222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39310 (or 39303 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201222110100 its reverse (1011222102), we get a palindrome (202233332202).

The spelling of 201222110100 in words is "two hundred one billion, two hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1619 1650 3238 3300 4857 6476 8095 9714 16190 17809 19428 24285 32380 35618 37663 40475 48570 53427 71236 75326 80950 89045 97140 106854 112989 121425 150652 161900 178090 188315 213708 225978 242850 267135 356180 376630 414293 445225 451956 485700 534270 564945 753260 828586 890450 941575 1068540 1129890 1242879 1335675 1657172 1780900 1883150 2071465 2259780 2485758 2671350 2824725 3766300 4142930 4971516 5342700 5649450 6214395 8285860 10357325 11298900 12428790 20714650 24857580 31071975 41429300 60976397 62143950 121952794 124287900 182929191 243905588 304881985 365858382 609763970 670740367 731716764 914645955 1219527940 1341480734 1524409925 1829291910 2012221101 2682961468 3048819850 3353701835 3658583820 4024442202 4573229775 6097639700 6707403670 8048884404 9146459550 10061105505 13414807340 16768509175 18292919100 20122211010 33537018350 40244422020 50305527525 67074036700 100611055050 201222110100