Search a number
-
+
102553325 = 527283717
BaseRepresentation
bin1100001110011…
…01011011101101
321010222020201022
412013031123231
5202223201300
614102023525
72353455200
oct607153355
9233866638
10102553325
1152985916
122a417ba5
1318328a54
14d897937
15900b285
hex61cd6ed

102553325 has 18 divisors (see below), whose sum is σ = 147929706. Its totient is φ = 70321440.

The previous prime is 102553303. The next prime is 102553327. The reversal of 102553325 is 523355201.

It can be written as a sum of positive squares in 3 ways, for example, as 32228329 + 70324996 = 5677^2 + 8386^2 .

It is not a de Polignac number, because 102553325 - 210 = 102552301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102553294 and 102553303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102553327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40634 + ... + 43083.

It is an arithmetic number, because the mean of its divisors is an integer number (8218317).

Almost surely, 2102553325 is an apocalyptic number.

It is an amenable number.

102553325 is a deficient number, since it is larger than the sum of its proper divisors (45376381).

102553325 is an equidigital number, since it uses as much as digits as its factorization.

102553325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83741 (or 83729 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 102553325 is about 10126.8615572644. The cubic root of 102553325 is about 468.0762242831.

The spelling of 102553325 in words is "one hundred two million, five hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 83717 418585 586019 2092925 2930095 4102133 14650475 20510665 102553325