Search a number
-
+
103329929 = 2997109337
BaseRepresentation
bin1100010100010…
…11000010001001
321012102201000102
412022023002021
5202423024204
614130415145
72363201303
oct612130211
9235381012
10103329929
115336633a
122a7314b5
131853b391
14da1a973
15911141e
hex628b089

103329929 has 16 divisors (see below), whose sum is σ = 109309200. Its totient is φ = 97542144.

The previous prime is 103329917. The next prime is 103329973. The reversal of 103329929 is 929923301.

It can be written as a sum of positive squares in 8 ways, for example, as 104329 + 103225600 = 323^2 + 10160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103329929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103329892 and 103329901.

It is not an unprimeable number, because it can be changed into a prime (103329029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306449 + ... + 306785.

It is an arithmetic number, because the mean of its divisors is an integer number (6831825).

Almost surely, 2103329929 is an apocalyptic number.

It is an amenable number.

103329929 is a deficient number, since it is larger than the sum of its proper divisors (5979271).

103329929 is a wasteful number, since it uses less digits than its factorization.

103329929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572.

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 103329929 is about 10165.1330045406. The cubic root of 103329929 is about 469.2547855409.

The spelling of 103329929 in words is "one hundred three million, three hundred twenty-nine thousand, nine hundred twenty-nine".

Divisors: 1 29 97 109 337 2813 3161 9773 10573 32689 36733 306617 947981 1065257 3563101 103329929