Search a number
-
+
10013032302030 = 23251096781150523
BaseRepresentation
bin1001000110110101011100…
…1110111100010111001110
31022110020101102210210100100
42101231113032330113032
52303023142232131110
633143531252311530
72052263163156042
oct221552716742716
938406342723310
1010013032302030
11321055977146a
1211587143125a6
135782c0129c44
142688c1ca6022
151256de125bc0
hex91b573bc5ce

10013032302030 has 96 divisors (see below), whose sum is σ = 26276775988320. Its totient is φ = 2645237502720.

The previous prime is 10013032302019. The next prime is 10013032302037. The reversal of 10013032302030 is 3020323031001.

10013032302030 is a `hidden beast` number, since 10 + 0 + 130 + 323 + 0 + 203 + 0 = 666.

It is a super-2 number, since 2×100130323020302 (a number of 27 digits) 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 = 10013032301994 and 10013032302012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013032302037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66446349 + ... + 66596871.

It is an arithmetic number, because the mean of its divisors is an integer number (273716416545).

Almost surely, 210013032302030 is an apocalyptic number.

10013032302030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013032302030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138387994160).

10013032302030 is an abundant number, since it is smaller than the sum of its proper divisors (16263743686290).

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

10013032302030 is a wasteful number, since it uses less digits than its factorization.

10013032302030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157426 (or 157423 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10013032302030 its reverse (3020323031001), we get a palindrome (13033355333031).

The spelling of 10013032302030 in words is "ten trillion, thirteen billion, thirty-two million, three hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 6781 9810 13562 20343 33905 40686 61029 67810 101715 122058 150523 203430 301046 305145 451569 610290 739129 752615 903138 1354707 1478258 1505230 2217387 2257845 2709414 3695645 4434774 4515690 6652161 6773535 7391290 11086935 13304322 13547070 16407007 22173870 32814014 33260805 49221021 66521610 82035035 98442042 147663063 164070070 246105105 295326126 492210210 738315315 1020696463 1476630630 2041392926 3062089389 5103482315 6124178778 9186268167 10206964630 15310446945 18372536334 30620893890 45931340835 91862681670 111255914467 222511828934 333767743401 556279572335 667535486802 1001303230203 1112559144670 1668838717005 2002606460406 3337677434010 5006516151015 10013032302030