Search a number
-
+
1013253052 = 227197924109
BaseRepresentation
bin111100011001010…
…000001110111100
32121121121120212211
4330121100032330
54033343044202
6244313310204
734052336350
oct7431201674
92547546784
101013253052
1147aa56019
12243405364
13131bca626
14987db460
155de4d1d7
hex3c6503bc

1013253052 has 48 divisors (see below), whose sum is σ = 2160256000. Its totient is φ = 406171584.

The previous prime is 1013253047. The next prime is 1013253053. The reversal of 1013253052 is 2503523101.

1013253052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013253053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29974 + ... + 54082.

Almost surely, 21013253052 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 1013253052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080128000).

1013253052 is an abundant number, since it is smaller than the sum of its proper divisors (1147002948).

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

1013253052 is a wasteful number, since it uses less digits than its factorization.

1013253052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24218 (or 24216 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1013253052 is about 31831.6360245590. The cubic root of 1013253052 is about 1004.3983105028.

Adding to 1013253052 its reverse (2503523101), we get a palindrome (3516776153).

The spelling of 1013253052 in words is "one billion, thirteen million, two hundred fifty-three thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 79 133 158 266 316 532 553 1106 1501 2212 3002 6004 10507 21014 24109 42028 48218 96436 168763 337526 458071 675052 916142 1832284 1904611 3206497 3809222 6412994 7618444 12825988 13332277 26664554 36187609 53329108 72375218 144750436 253313263 506626526 1013253052