Search a number
-
+
103325241012 = 22372175723199
BaseRepresentation
bin110000000111010101…
…0100000111010110100
3100212200220200002101020
41200032222200322310
53143102230203022
6115244510301140
710315332025500
oct1401652407264
9325626602336
10103325241012
113a90244a974
12180374b77b0
1399886bb886
14500292b300
152a4b12635c
hex180eaa0eb4

103325241012 has 36 divisors (see below), whose sum is σ = 280454227200. Its totient is φ = 29521497264.

The previous prime is 103325241011. The next prime is 103325241017. The reversal of 103325241012 is 210142523301.

It is a super-3 number, since 3×1033252410123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103325241011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87861012 + ... + 87862187.

It is an arithmetic number, because the mean of its divisors is an integer number (7790395200).

Almost surely, 2103325241012 is an apocalyptic number.

103325241012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103325241012 is an abundant number, since it is smaller than the sum of its proper divisors (177128986188).

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

103325241012 is a wasteful number, since it uses less digits than its factorization.

103325241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175723220 (or 175723211 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 103325241012 its reverse (210142523301), we get a palindrome (313467764313).

The spelling of 103325241012 in words is "one hundred three billion, three hundred twenty-five million, two hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 175723199 351446398 527169597 702892796 1054339194 1230062393 2108678388 2460124786 3690187179 4920249572 7380374358 8610436751 14760748716 17220873502 25831310253 34441747004 51662620506 103325241012