Search a number
-
+
100021323324 = 2231323671373037
BaseRepresentation
bin101110100100110111…
…1000100011000111100
3100120011122202200100110
41131021233010120330
53114320424321244
6113541004030020
710140423135426
oct1351157043074
9316148680313
10100021323324
113946747a68a
1217474b32310
1395800672b0
144babc11816
15290604c9b9
hex1749bc463c

100021323324 has 192 divisors, whose sum is σ = 268208833536. Its totient is φ = 28777199616.

The previous prime is 100021323319. The next prime is 100021323329. The reversal of 100021323324 is 423323120001.

It is an interprime number because it is at equal distance from previous prime (100021323319) and next prime (100021323329).

It is a self number, because there is not a number n which added to its sum of digits gives 100021323324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021323329) 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 63 ways as a sum of consecutive naturals, for example, 32932734 + ... + 32935770.

It is an arithmetic number, because the mean of its divisors is an integer number (1396921008).

Almost surely, 2100021323324 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 100021323324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134104416768).

100021323324 is an abundant number, since it is smaller than the sum of its proper divisors (168187510212).

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

100021323324 is a wasteful number, since it uses less digits than its factorization.

100021323324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100021323324 its reverse (423323120001), we get a palindrome (523344443325).

The spelling of 100021323324 in words is "one hundred billion, twenty-one million, three hundred twenty-three thousand, three hundred twenty-four".