Search a number
-
+
11013142130 = 25173789103191
BaseRepresentation
bin10100100000110111…
…10011011001110010
31001102112011120211222
422100123303121302
5140023331022010
65020453505042
7536626110044
oct122033633162
931375146758
1011013142130
1147416a4761
122174342182
131066879463
14766931a94
15446cd8355
hex2906f3672

11013142130 has 128 divisors (see below), whose sum is σ = 22126141440. Its totient is φ = 3929333760.

The previous prime is 11013142123. The next prime is 11013142169. The reversal of 11013142130 is 3124131011.

11013142130 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 (17).

It is a junction number, because it is equal to n+sod(n) for n = 11013142099 and 11013142108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57660335 + ... + 57660525.

It is an arithmetic number, because the mean of its divisors is an integer number (172860480).

Almost surely, 211013142130 is an apocalyptic number.

11013142130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11013142130 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

11013142130 is a wasteful number, since it uses less digits than its factorization.

11013142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11013142130 its reverse (3124131011), we get a palindrome (14137273141).

The spelling of 11013142130 in words is "eleven billion, thirteen million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 37 74 85 89 103 170 178 185 191 206 370 382 445 515 629 890 955 1030 1258 1513 1751 1910 3026 3145 3247 3293 3502 3811 6290 6494 6586 7067 7565 7622 8755 9167 14134 15130 16235 16465 16999 17510 18334 19055 19673 32470 32930 33998 35335 38110 39346 45835 55981 64787 70670 84995 91670 98365 111962 120139 129574 155839 169990 196730 240278 279905 288983 311678 323935 334441 339179 559810 577966 600695 628963 647870 668882 678358 727901 779195 1201390 1257926 1444915 1455802 1558390 1672205 1695895 1750897 2889830 3144815 3344410 3391790 3501794 3639505 5766043 6289630 7279010 8754485 10692371 11532086 12374317 17508970 21384742 24748634 28830215 29765249 53461855 57660430 59530498 61871585 64783189 106923710 123743170 129566378 148826245 297652490 323915945 647831890 1101314213 2202628426 5506571065 11013142130