Search a number
-
+
100103355 = 32511434703
BaseRepresentation
bin1011111011101…
…11010010111011
320222100202222200
411331313102323
5201111301410
613533321243
72323602342
oct575672273
9228322880
10100103355
1151562150
1229636223
131797b871
14d41ab59
158bc53c0
hex5f774bb

100103355 has 48 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 47396160.

The previous prime is 100103351. The next prime is 100103363. The reversal of 100103355 is 553301001.

It is a happy number.

It is not a de Polignac number, because 100103355 - 22 = 100103351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100103351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18934 + ... + 23636.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2100103355 is an apocalyptic number.

100103355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100103355 is a deficient number, since it is larger than the sum of its proper divisors (93626181).

100103355 is a wasteful number, since it uses less digits than its factorization.

100103355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 100103355 is about 10005.1664154076. The cubic root of 100103355 is about 464.3187387724.

Adding to 100103355 its reverse (553301001), we get a palindrome (653404356).

The spelling of 100103355 in words is "one hundred million, one hundred three thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 43 45 55 99 129 165 215 387 473 495 645 1419 1935 2365 4257 4703 7095 14109 21285 23515 42327 51733 70545 155199 202229 211635 258665 465597 606687 775995 1011145 1820061 2224519 2327985 3033435 6673557 9100305 11122595 20020671 33367785 100103355