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20134221100 = 22527434611451
BaseRepresentation
bin10010110000000101…
…111101010100101100
31220222012002101222121
4102300011331110230
5312213330033400
613125522122324
71311642025030
oct226005752454
956865071877
1020134221100
1185a2274354
123a9aab03a4
131b8b4407c6
14d900641c0
157cc93021a
hex4b017d52c

20134221100 has 144 divisors (see below), whose sum is σ = 51240220416. Its totient is φ = 6723360000.

The previous prime is 20134221097. The next prime is 20134221119. The reversal of 20134221100 is 112243102.

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, 13875375 + ... + 13876825.

It is an arithmetic number, because the mean of its divisors is an integer number (355834864).

Almost surely, 220134221100 is an apocalyptic number.

20134221100 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 20134221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620110208).

20134221100 is an abundant number, since it is smaller than the sum of its proper divisors (31105999316).

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

20134221100 is a wasteful number, since it uses less digits than its factorization.

20134221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20134221100 its reverse (112243102), we get a palindrome (20246464202).

The spelling of 20134221100 in words is "twenty billion, one hundred thirty-four million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 461 602 700 860 922 1075 1204 1451 1505 1844 2150 2305 2902 3010 3227 4300 4610 5804 6020 6454 7255 7525 9220 10157 11525 12908 14510 15050 16135 19823 20314 23050 29020 30100 32270 36275 39646 40628 46100 50785 62393 64540 72550 79292 80675 99115 101570 124786 138761 145100 161350 198230 203140 249572 253925 277522 311965 322700 396460 436751 495575 507850 555044 623930 668911 693805 873502 991150 1015700 1247860 1337822 1387610 1559825 1747004 1982300 2183755 2675644 2775220 3119650 3344555 3469025 4367510 4682377 6239300 6689110 6938050 8735020 9364754 10918775 13378220 13876100 16722775 18729508 21837550 23411885 28763173 33445550 43675100 46823770 57526346 66891100 93647540 115052692 117059425 143815865 201342211 234118850 287631730 402684422 468237700 575263460 719079325 805368844 1006711055 1438158650 2013422110 2876317300 4026844220 5033555275 10067110550 20134221100