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100244440100 = 225272127161087
BaseRepresentation
bin101110101011100001…
…0001100010000100100
3100120202012121012000202
41131113002030100210
53120300034040400
6114015054130032
710146102452600
oct1352702142044
9316665535022
10100244440100
1139571411612
12175177b0918
1395b735655c
144bcd6d0500
15291a9214d5
hex175708c424

100244440100 has 108 divisors (see below), whose sum is σ = 255039676416. Its totient is φ = 34098684480.

The previous prime is 100244440057. The next prime is 100244440103. The reversal of 100244440100 is 1044442001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100244440103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541757 + ... + 702843.

Almost surely, 2100244440100 is an apocalyptic number.

100244440100 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 100244440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127519838208).

100244440100 is an abundant number, since it is smaller than the sum of its proper divisors (154795236316).

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

100244440100 is a wasteful number, since it uses less digits than its factorization.

100244440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161242 (or 161228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100244440100 its reverse (1044442001), we get a palindrome (101288882101).

The spelling of 100244440100 in words is "one hundred billion, two hundred forty-four million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 127 140 175 196 245 254 350 490 508 635 700 889 980 1225 1270 1778 2450 2540 3175 3556 4445 4900 6223 6350 8890 12446 12700 17780 22225 24892 31115 44450 62230 88900 124460 155575 161087 311150 322174 622300 644348 805435 1127609 1610870 2255218 3221740 4027175 4510436 5638045 7893263 8054350 11276090 15786526 16108700 20458049 22552180 28190225 31573052 39466315 40916098 56380450 78932630 81832196 102290245 112760900 143206343 157865260 197331575 204580490 286412686 394663150 409160980 511451225 572825372 716031715 789326300 1002444401 1022902450 1432063430 2004888802 2045804900 2864126860 3580158575 4009777604 5012222005 7160317150 10024444010 14320634300 20048888020 25061110025 50122220050 100244440100