Search a number
-
+
100103778 = 2325561321
BaseRepresentation
bin1011111011101…
…11011001100010
320222100210120100
411331313121202
5201111310103
613533323230
72323603515
oct575673142
9228323510
10100103778
11515624a5
1229636516
131797bb08
14d41ad7c
158bc55a3
hex5f77662

100103778 has 12 divisors (see below), whose sum is σ = 216891558. Its totient is φ = 33367920.

The previous prime is 100103771. The next prime is 100103779. The reversal of 100103778 is 877301001.

It can be written as a sum of positive squares in only one way, i.e., 99740169 + 363609 = 9987^2 + 603^2 .

It is not an unprimeable number, because it can be changed into a prime (100103771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780643 + ... + 2780678.

Almost surely, 2100103778 is an apocalyptic number.

100103778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100103778 is an abundant number, since it is smaller than the sum of its proper divisors (116787780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100103778 is a wasteful number, since it uses less digits than its factorization.

100103778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561329 (or 5561326 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 100103778 is about 10005.1875544639. The cubic root of 100103778 is about 464.3193927849.

Adding to 100103778 its reverse (877301001), we get a palindrome (977404779).

The spelling of 100103778 in words is "one hundred million, one hundred three thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 5561321 11122642 16683963 33367926 50051889 100103778