Search a number
-
+
1010134224 = 243211637711
BaseRepresentation
bin111100001101010…
…110110011010000
32121101202010122200
4330031112303100
54032043243344
6244122403200
734013666511
oct7415266320
92541663580
101010134224
11479215880
12242360500
13131377b78
1498228a08
155da34069
hex3c356cd0

1010134224 has 60 divisors (see below), whose sum is σ = 3083975232. Its totient is φ = 306100800.

The previous prime is 1010134207. The next prime is 1010134231. The reversal of 1010134224 is 4224310101.

1010134224 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 junction number, because it is equal to n+sod(n) for n = 1010134197 and 1010134206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317272 + ... + 320439.

Almost surely, 21010134224 is an apocalyptic number.

It is an amenable number.

1010134224 is an abundant number, since it is smaller than the sum of its proper divisors (2073841008).

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

1010134224 is a wasteful number, since it uses less digits than its factorization.

1010134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637736 (or 637727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010134224 is about 31782.6088293582. The cubic root of 1010134224 is about 1003.3667270949.

Adding to 1010134224 its reverse (4224310101), we get a palindrome (5234444325).

The spelling of 1010134224 in words is "one billion, ten million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 637711 1275422 1913133 2550844 3826266 5101688 5739399 7014821 7652532 10203376 11478798 14029642 15305064 21044463 22957596 28059284 30610128 42088926 45915192 56118568 63133389 84177852 91830384 112237136 126266778 168355704 252533556 336711408 505067112 1010134224