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100244442100 = 225211293142459
BaseRepresentation
bin101110101011100001…
…0001100101111110100
3100120202012121021202211
41131113002030233310
53120300034121400
6114015054143204
710146102461455
oct1352702145764
9316665537684
10100244442100
1139571413070
12175177b1b04
1395b735743a
144bcd6d112c
15291a921dba
hex175708cbf4

100244442100 has 72 divisors (see below), whose sum is σ = 245488975200. Its totient is φ = 35195529600.

The previous prime is 100244442091. The next prime is 100244442127. The reversal of 100244442100 is 1244442001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539330 + ... + 1603129.

It is an arithmetic number, because the mean of its divisors is an integer number (3409569100).

Almost surely, 2100244442100 is an apocalyptic number.

100244442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244442100 is an abundant number, since it is smaller than the sum of its proper divisors (145244533100).

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

100244442100 is a wasteful number, since it uses less digits than its factorization.

100244442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142513 (or 3142506 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 100244442100 its reverse (1244442001), we get a palindrome (101488884101).

Subtracting from 100244442100 its reverse (1244442001), we obtain a palindrome (99000000099).

The spelling of 100244442100 in words is "one hundred billion, two hundred forty-four million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 3142459 6284918 12569836 15712295 31424590 34567049 62849180 69134098 78561475 91131311 138268196 157122950 172835245 182262622 314245900 345670490 364525244 455656555 691340980 864176225 911313110 1002444421 1728352450 1822626220 2004888842 2278282775 3456704900 4009777684 4556565550 5012222105 9113131100 10024444210 20048888420 25061110525 50122221050 100244442100