Search a number
-
+
1003010148 = 2233759113199
BaseRepresentation
bin111011110010001…
…011100001100100
32120220100012021000
4323302023201210
54023232311043
6243305553300
733566305560
oct7362134144
92526305230
101003010148
1147519a408
1223baa5830
1312ca5233a
14972d26a0
155d0c82d3
hex3bc8b864

1003010148 has 192 divisors, whose sum is σ = 3064320000. Its totient is φ = 277820928.

The previous prime is 1003010123. The next prime is 1003010219. The reversal of 1003010148 is 8410103001.

1003010148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1003010148.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5040153 + ... + 5040351.

It is an arithmetic number, because the mean of its divisors is an integer number (15960000).

Almost surely, 21003010148 is an apocalyptic number.

1003010148 is a gapful number since it is divisible by the number (18) 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 1003010148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160000).

1003010148 is an abundant number, since it is smaller than the sum of its proper divisors (2061309852).

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

1003010148 is a wasteful number, since it uses less digits than its factorization.

1003010148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1003010148 is about 31670.3354576487. The cubic root of 1003010148 is about 1001.0023775702.

Adding to 1003010148 its reverse (8410103001), we get a palindrome (9413113149).

The spelling of 1003010148 in words is "one billion, three million, ten thousand, one hundred forty-eight".