Search a number
-
+
100323020 = 22573831871
BaseRepresentation
bin1011111101011…
…00111011001100
320222202221022102
411332230323030
5201140314040
613542134232
72325505640
oct576547314
9228687272
10100323020
11516a2196
1229721378
1317a27845
14d476c20
158c1a515
hex5facecc

100323020 has 48 divisors (see below), whose sum is σ = 241532928. Its totient is φ = 34288320.

The previous prime is 100323019. The next prime is 100323031. The reversal of 100323020 is 20323001.

It is a junction number, because it is equal to n+sod(n) for n = 100322992 and 100323010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52685 + ... + 54555.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936).

Almost surely, 2100323020 is an apocalyptic number.

100323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100323020 is an abundant number, since it is smaller than the sum of its proper divisors (141209908).

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

100323020 is a wasteful number, since it uses less digits than its factorization.

100323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 100323020 is about 10016.1379782828. The cubic root of 100323020 is about 464.6581215418.

Adding to 100323020 its reverse (20323001), we get a palindrome (120646021).

The spelling of 100323020 in words is "one hundred million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 383 766 1532 1871 1915 2681 3742 3830 5362 7484 7660 9355 10724 13097 13405 18710 26194 26810 37420 52388 53620 65485 130970 261940 716593 1433186 2866372 3582965 5016151 7165930 10032302 14331860 20064604 25080755 50161510 100323020