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100244440220 = 225318311317239
BaseRepresentation
bin101110101011100001…
…0001100010010011100
3100120202012121012012012
41131113002030102130
53120300034041340
6114015054130352
710146102453131
oct1352702142234
9316665535165
10100244440220
1139571411711
12175177b09b8
1395b7356622
144bcd6d0588
15291a921565
hex175708c49c

100244440220 has 96 divisors (see below), whose sum is σ = 221881282560. Its totient is φ = 37995310080.

The previous prime is 100244440181. The next prime is 100244440237. The reversal of 100244440220 is 22044442001.

100244440220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5806361 + ... + 5823599.

It is an arithmetic number, because the mean of its divisors is an integer number (2311263360).

Almost surely, 2100244440220 is an apocalyptic number.

100244440220 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 100244440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110940641280).

100244440220 is an abundant number, since it is smaller than the sum of its proper divisors (121636842340).

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

100244440220 is a wasteful number, since it uses less digits than its factorization.

100244440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475 (or 17473 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 100244440220 its reverse (22044442001), we get a palindrome (122288882221).

The spelling of 100244440220 in words is "one hundred billion, two hundred forty-four million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 83 113 124 155 166 226 310 332 415 452 565 620 830 1130 1660 2260 2573 3503 5146 7006 9379 10292 12865 14012 17239 17515 18758 25730 34478 35030 37516 46895 51460 68956 70060 86195 93790 172390 187580 290749 344780 534409 581498 1068818 1162996 1430837 1453745 1948007 2137636 2672045 2861674 2907490 3896014 5344090 5723348 5814980 7154185 7792028 9740035 10688180 14308370 19480070 28616740 38960140 44355947 60388217 88711894 120776434 161684581 177423788 221779735 241552868 301941085 323369162 443559470 603882170 646738324 808422905 887118940 1207764340 1616845810 3233691620 5012222011 10024444022 20048888044 25061110055 50122220110 100244440220