Search a number
-
+
10130954240 = 211511531697
BaseRepresentation
bin10010110111101101…
…00001100000000000
3222011001011210120102
421123312201200000
5131222011013430
64353141301532
7506024455511
oct113366414000
928131153512
1010130954240
114329728960
121b68a048a8
13c55b7b3a4
146c16d0a08
153e4629345
hex25bda1800

10130954240 has 192 divisors, whose sum is σ = 27034469280. Its totient is φ = 3612344320.

The previous prime is 10130954231. The next prime is 10130954303. The reversal of 10130954240 is 4245903101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5969072 + ... + 5970768.

Almost surely, 210130954240 is an apocalyptic number.

10130954240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517234640).

10130954240 is an abundant number, since it is smaller than the sum of its proper divisors (16903515040).

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

10130954240 is a wasteful number, since it uses less digits than its factorization.

10130954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 10130954240 in words is "ten billion, one hundred thirty million, nine hundred fifty-four thousand, two hundred forty".