Search a number
-
+
10132144104 = 233599977177
BaseRepresentation
bin10010110111110110…
…00011111111101000
3222011010102020202110
421123323003333220
5131222312102404
64353223002320
7506040542505
oct113373037750
928133366673
1010132144104
11432a370915
121b692993a0
13c561a6b54
146c19204ac
153e47b1b89
hex25bec3fe8

10132144104 has 64 divisors (see below), whose sum is σ = 25789118400. Its totient is φ = 3316345344.

The previous prime is 10132144081. The next prime is 10132144151. The reversal of 10132144104 is 40144123101.

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, 1408164 + ... + 1415340.

It is an arithmetic number, because the mean of its divisors is an integer number (402954975).

Almost surely, 210132144104 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 10132144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894559200).

10132144104 is an abundant number, since it is smaller than the sum of its proper divisors (15656974296).

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

10132144104 is a wasteful number, since it uses less digits than its factorization.

10132144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10132144104 its reverse (40144123101), we get a palindrome (50276267205).

The spelling of 10132144104 in words is "ten billion, one hundred thirty-two million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 997 1416 1994 2991 3988 5982 7177 7976 11964 14354 21531 23928 28708 43062 57416 58823 86124 117646 172248 176469 235292 352938 423443 470584 705876 846886 1270329 1411752 1693772 2540658 3387544 5081316 7155469 10162632 14310938 21466407 28621876 42932814 57243752 85865628 171731256 422172671 844345342 1266518013 1688690684 2533036026 3377381368 5066072052 10132144104