Search a number
-
+
10010011021110 = 2335135347273919
BaseRepresentation
bin1001000110101010001100…
…1001101010111100110110
31022102221120212201211002000
42101222203021222330312
52303001000310133420
633142311404000130
72052125255540622
oct221524311527466
938387525654060
1010010011021110
11320a249296391
121158010530046
13577c2b204259
142686b6920182
151255b3c7b690
hex91aa326af36

10010011021110 has 64 divisors (see below), whose sum is σ = 26693657395200. Its totient is φ = 2669306805216.

The previous prime is 10010011021103. The next prime is 10010011021141. The reversal of 10010011021110 is 1112011001001.

10010011021110 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010011021092 and 10010011021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36406731 + ... + 36680649.

It is an arithmetic number, because the mean of its divisors is an integer number (417088396800).

Almost surely, 210010011021110 is an apocalyptic number.

10010011021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010011021110 is an abundant number, since it is smaller than the sum of its proper divisors (16683646374090).

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

10010011021110 is a wasteful number, since it uses less digits than its factorization.

10010011021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409282 (or 409276 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010011021110 its reverse (1112011001001), we get a palindrome (11122022022111).

The spelling of 10010011021110 in words is "ten trillion, ten billion, eleven million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 135347 270694 273919 406041 547838 676735 812082 821757 1218123 1353470 1369595 1643514 2030205 2436246 2465271 2739190 3654369 4060410 4108785 4930542 6090615 7308738 7395813 8217570 12181230 12326355 14791626 18271845 24652710 36543690 36979065 73958130 37074114893 74148229786 111222344679 185370574465 222444689358 333667034037 370741148930 556111723395 667334068074 1001001102111 1112223446790 1668335170185 2002002204222 3336670340370 5005005510555 10010011021110