Search a number
-
+
1010104524 = 223211131923449
BaseRepresentation
bin111100001101001…
…111100011001100
32121101200121220200
4330031033203030
54032041321044
6244122013500
734013514102
oct7415174314
92541617820
101010104524
114791a5530
12242347290
131313674b0
149821bc72
155da2a369
hex3c34f8cc

1010104524 has 288 divisors, whose sum is σ = 3302208000. Its totient is φ = 255467520.

The previous prime is 1010104517. The next prime is 1010104549. The reversal of 1010104524 is 4254010101.

It is a super-2 number, since 2×10101045242 = 2040622298810533152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010104497 and 1010104506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2249452 + ... + 2249900.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 21010104524 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 1010104524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

1010104524 is an abundant number, since it is smaller than the sum of its proper divisors (2292103476).

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

1010104524 is a wasteful number, since it uses less digits than its factorization.

1010104524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1010104524 is about 31782.1415892636. The cubic root of 1010104524 is about 1003.3568933246.

Adding to 1010104524 its reverse (4254010101), we get a palindrome (5264114625).

The spelling of 1010104524 in words is "one billion, ten million, one hundred four thousand, five hundred twenty-four".