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103241012125 = 533753421177
BaseRepresentation
bin110000000100110100…
…1001101001110011101
3100212111001011211001211
41200021221031032131
53142414144342000
6115232301104421
710313260060306
oct1401151151635
9325431154054
10103241012125
113a869950519
1218013258111
13997410a6b4
144dd56837ad
152a43a397ba
hex1809a4d39d

103241012125 has 32 divisors (see below), whose sum is σ = 134824131936. Its totient is φ = 78844147200.

The previous prime is 103241012123. The next prime is 103241012159. The reversal of 103241012125 is 521210142301.

It can be written as a sum of positive squares in 16 ways, for example, as 47187135076 + 56053877049 = 217226^2 + 236757^2 .

It is not a de Polignac number, because 103241012125 - 21 = 103241012123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103241012096 and 103241012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103241012123) by changing a digit.

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, 34537 + ... + 455713.

It is an arithmetic number, because the mean of its divisors is an integer number (4213254123).

Almost surely, 2103241012125 is an apocalyptic number.

It is an amenable number.

103241012125 is a deficient number, since it is larger than the sum of its proper divisors (31583119811).

103241012125 is an equidigital number, since it uses as much as digits as its factorization.

103241012125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421282 (or 421272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 103241012125 its reverse (521210142301), we get a palindrome (624451154426).

The spelling of 103241012125 in words is "one hundred three billion, two hundred forty-one million, twelve thousand, one hundred twenty-five".

Divisors: 1 5 25 37 53 125 185 265 925 1325 1961 4625 6625 9805 49025 245125 421177 2105885 10529425 15583549 22322381 52647125 77917745 111611905 389588725 558059525 825928097 1947943625 2790297625 4129640485 20648202425 103241012125