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103330825 = 5213237661
BaseRepresentation
bin1100010100010…
…11010000001001
321012102202020121
412022023100021
5202423041300
614130423241
72363204023
oct612132011
9235382217
10103330825
1153366a84
122a731b21
131853b900
14da1b013
15911181a
hex628b409

103330825 has 36 divisors (see below), whose sum is σ = 142709988. Its totient is φ = 74131200.

The previous prime is 103330823. The next prime is 103330831. The reversal of 103330825 is 528033301.

It can be written as a sum of positive squares in 18 ways, for example, as 66716224 + 36614601 = 8168^2 + 6051^2 .

It is not a de Polignac number, because 103330825 - 21 = 103330823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103330825.

It is not an unprimeable number, because it can be changed into a prime (103330823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155995 + ... + 156655.

Almost surely, 2103330825 is an apocalyptic number.

It is an amenable number.

103330825 is a deficient number, since it is larger than the sum of its proper divisors (39379163).

103330825 is a wasteful number, since it uses less digits than its factorization.

103330825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 103330825 is about 10165.1770766672. The cubic root of 103330825 is about 469.2561418794.

The spelling of 103330825 in words is "one hundred three million, three hundred thirty thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 37 65 169 185 325 481 661 845 925 2405 3305 4225 6253 8593 12025 16525 24457 31265 42965 111709 122285 156325 214825 317941 558545 611425 1589705 2792725 4133233 7948525 20666165 103330825