Search a number
-
+
100320332 = 22717419503
BaseRepresentation
bin1011111101011…
…00010001001100
320222202210121212
411332230101030
5201140222312
613542113552
72325465050
oct576542114
9228683555
10100320332
11516a0172
122971b8b8
1317a26558
14d475c60
158c19822
hex5fac44c

100320332 has 48 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 40288512.

The previous prime is 100320313. The next prime is 100320343. The reversal of 100320332 is 233023001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199193 + ... + 199695.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2100320332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

100320332 is an abundant number, since it is smaller than the sum of its proper divisors (113053108).

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

100320332 is a wasteful number, since it uses less digits than its factorization.

100320332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 100320332 is about 10016.0037939290. The cubic root of 100320332 is about 464.6539715731.

Adding to 100320332 its reverse (233023001), we get a palindrome (333343333).

The spelling of 100320332 in words is "one hundred million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 419 476 503 838 1006 1676 2012 2933 3521 5866 7042 7123 8551 11732 14084 14246 17102 28492 34204 49861 59857 99722 119714 199444 210757 239428 421514 843028 1475299 2950598 3582869 5901196 7165738 14331476 25080083 50160166 100320332