Search a number
-
+
100103229 = 3319832351
BaseRepresentation
bin1011111011101…
…11010000111101
320222100202211000
411331313100331
5201111300404
613533320513
72323602102
oct575672075
9228322730
10100103229
1151562046
1229636139
131797b7a5
14d41aaa9
158bc5339
hex5f7743d

100103229 has 32 divisors (see below), whose sum is σ = 158054400. Its totient is φ = 62434800.

The previous prime is 100103219. The next prime is 100103231. The reversal of 100103229 is 922301001.

It is a happy number.

It is not a de Polignac number, because 100103229 - 217 = 99972157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41404 + ... + 43754.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2100103229 is an apocalyptic number.

100103229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100103229 is a deficient number, since it is larger than the sum of its proper divisors (57951171).

100103229 is a wasteful number, since it uses less digits than its factorization.

100103229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100103229 is about 10005.1601186588. The cubic root of 100103229 is about 464.3185439598.

The spelling of 100103229 in words is "one hundred million, one hundred three thousand, two hundred twenty-nine".

Divisors: 1 3 9 19 27 57 83 171 249 513 747 1577 2241 2351 4731 7053 14193 21159 42579 44669 63477 134007 195133 402021 585399 1206063 1756197 3707527 5268591 11122581 33367743 100103229