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100244441125 = 531575107997
BaseRepresentation
bin101110101011100001…
…0001100100000100101
3100120202012121020102201
41131113002030200211
53120300034104000
6114015054134501
710146102455563
oct1352702144045
9316665536381
10100244441125
1139571412364
12175177b1431
1395b7356b6a
144bcd6d0a33
15291a92196a
hex175708c825

100244441125 has 16 divisors (see below), whose sum is σ = 125901934704. Its totient is φ = 79684737600.

The previous prime is 100244441111. The next prime is 100244441131. The reversal of 100244441125 is 521144442001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35615615841 + 64628825284 = 188721^2 + 254222^2 .

It is not a de Polignac number, because 100244441125 - 29 = 100244440613 is a prime.

It is a super-4 number, since 4×1002444411254 (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100244441093 and 100244441102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534374 + ... + 2573623.

It is an arithmetic number, because the mean of its divisors is an integer number (7868870919).

Almost surely, 2100244441125 is an apocalyptic number.

It is an amenable number.

100244441125 is a deficient number, since it is larger than the sum of its proper divisors (25657493579).

100244441125 is an equidigital number, since it uses as much as digits as its factorization.

100244441125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108169 (or 5108159 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 100244441125 its reverse (521144442001), we get a palindrome (621388883126).

The spelling of 100244441125 in words is "one hundred billion, two hundred forty-four million, four hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 157 785 3925 19625 5107997 25539985 127699925 638499625 801955529 4009777645 20048888225 100244441125