Search a number
-
+
100125348 = 22323499727
BaseRepresentation
bin1011111011111…
…00101010100100
320222101220011020
411331330222210
5201113002343
613534011140
72324023431
oct575745244
9228356136
10100125348
1151577724
1229646ab0
131798888b
14d424b88
158bcbb83
hex5f7caa4

100125348 has 48 divisors (see below), whose sum is σ = 244608000. Its totient is φ = 31816224.

The previous prime is 100125323. The next prime is 100125353. The reversal of 100125348 is 843521001.

It is a super-2 number, since 2×1001253482 = 20050170624242208, which contains 22 as substring.

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, 137361 + ... + 138087.

It is an arithmetic number, because the mean of its divisors is an integer number (5096000).

Almost surely, 2100125348 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 100125348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304000).

100125348 is an abundant number, since it is smaller than the sum of its proper divisors (144482652).

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

100125348 is a wasteful number, since it uses less digits than its factorization.

100125348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100125348 is about 10006.2654372148. The cubic root of 100125348 is about 464.3527403442.

Adding to 100125348 its reverse (843521001), we get a palindrome (943646349).

The spelling of 100125348 in words is "one hundred million, one hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 499 727 998 1454 1497 1996 2181 2908 2994 4362 5988 8724 11477 16721 22954 33442 34431 45908 50163 66884 68862 100326 137724 200652 362773 725546 1088319 1451092 2176638 4353276 8343779 16687558 25031337 33375116 50062674 100125348