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100244420200 = 23521789331277
BaseRepresentation
bin101110101011100001…
…0000111011001101000
3100120202012120011201201
41131113002013121220
53120300032421300
6114015053453544
710146102340561
oct1352702073150
9316665504651
10100244420200
11395713a8671
12175177a12b4
1395b734a492
144bcd6c7168
15291a91a66a
hex1757087668

100244420200 has 96 divisors (see below), whose sum is σ = 249551717400. Its totient is φ = 37314928640.

The previous prime is 100244420167. The next prime is 100244420203. The reversal of 100244420200 is 2024442001.

It can be written as a sum of positive squares in 12 ways, for example, as 2499400036 + 97745020164 = 49994^2 + 312642^2 .

It is not an unprimeable number, because it can be changed into a prime (100244420203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136962 + ... + 468238.

Almost surely, 2100244420200 is an apocalyptic number.

100244420200 is a gapful number since it is divisible by the number (10) 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 100244420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124775858700).

100244420200 is an abundant number, since it is smaller than the sum of its proper divisors (149307297200).

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

100244420200 is a wasteful number, since it uses less digits than its factorization.

100244420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331399 (or 331390 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 100244420200 its reverse (2024442001), we get a palindrome (102268862201).

The spelling of 100244420200 in words is "one hundred billion, two hundred forty-four million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 89 100 136 170 178 200 340 356 425 445 680 712 850 890 1513 1700 1780 2225 3026 3400 3560 4450 6052 7565 8900 12104 15130 17800 30260 37825 60520 75650 151300 302600 331277 662554 1325108 1656385 2650216 3312770 5631709 6625540 8281925 11263418 13251080 16563850 22526836 28158545 29483653 33127700 45053672 56317090 58967306 66255400 112634180 117934612 140792725 147418265 225268360 235869224 281585450 294836530 501222101 563170900 589673060 737091325 1002444202 1126341800 1179346120 1474182650 2004888404 2506110505 2948365300 4009776808 5012221010 5896730600 10024442020 12530552525 20048884040 25061105050 50122210100 100244420200