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201030444125 = 537257175741
BaseRepresentation
bin1011101100111001011…
…0010010010001011101
3201012220011020200002122
42323032112102101131
511243202243203000
6232204020032325
720344502403200
oct2731626222135
9635804220078
10201030444125
1178290499115
1232b648326a5
1315c59958524
149a30cb5937
155368b6b085
hex2ece59245d

201030444125 has 48 divisors (see below), whose sum is σ = 291948866352. Its totient is φ = 137801328000.

The previous prime is 201030444067. The next prime is 201030444211. The reversal of 201030444125 is 521444030102.

It can be written as a sum of positive squares in 8 ways, for example, as 57436436281 + 143594007844 = 239659^2 + 378938^2 .

It is not a de Polignac number, because 201030444125 - 26 = 201030444061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201030444094 and 201030444103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35013755 + ... + 35019495.

It is an arithmetic number, because the mean of its divisors is an integer number (6082268049).

Almost surely, 2201030444125 is an apocalyptic number.

201030444125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201030444125 is a deficient number, since it is larger than the sum of its proper divisors (90918422227).

201030444125 is an equidigital number, since it uses as much as digits as its factorization.

201030444125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 201030444125 its reverse (521444030102), we get a palindrome (722474474227).

The spelling of 201030444125 in words is "two hundred one billion, thirty million, four hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 875 1225 5717 5741 6125 28585 28705 40019 40187 142925 143525 200095 200935 280133 281309 714625 717625 1000475 1004675 1400665 1406545 5002375 5023375 7003325 7032725 32821297 35016625 35163625 164106485 229749079 820532425 1148745395 1608243553 4102662125 5743726975 8041217765 28718634875 40206088825 201030444125