Search a number
-
+
103539150625 = 546122112
BaseRepresentation
bin110000001101101101…
…0100000111100100001
3100220020211011211012111
41200123122200330201
53144022010310000
6115322031155321
710323540154621
oct1403332407441
9326224154174
10103539150625
113aa02173379
1218097075b41
1399c0b06101
1450230d0881
152a5eccbcba
hex181b6a0f21

103539150625 has 45 divisors (see below), whose sum is σ = 132164677359. Its totient is φ = 81087300000.

The previous prime is 103539150613. The next prime is 103539150661. The reversal of 103539150625 is 526051935301.

The square root of 103539150625 is 321775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 102455687569 + 1083463056 = 320087^2 + 32916^2 .

It is not a de Polignac number, because 103539150625 - 25 = 103539150593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 490706770 + ... + 490706980.

Almost surely, 2103539150625 is an apocalyptic number.

103539150625 is the 321775-th square number.

103539150625 is the 160888-th centered octagonal number.

It is an amenable number.

103539150625 is a deficient number, since it is larger than the sum of its proper divisors (28625526734).

103539150625 is an frugal number, since it uses more digits than its factorization.

103539150625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 40.

The spelling of 103539150625 in words is "one hundred three billion, five hundred thirty-nine million, one hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 211 305 625 1055 1525 3721 5275 7625 12871 18605 26375 38125 44521 64355 93025 131875 222605 321775 465125 785131 1113025 1608875 2325625 2715781 3925655 5565125 8044375 13578905 19628275 27825625 67894525 98141375 165662641 339472625 490706875 828313205 1697363125 4141566025 20707830125 103539150625