Search a number
-
+
11130301020 = 22353494611153
BaseRepresentation
bin10100101110110101…
…01110101001011100
31001201200121212122010
422113122232221130
5140243324113040
65040240551220
7542550666126
oct122732565134
931650555563
1011130301020
1147a1845993
1221a7622510
131084c1a147
1477830c216
1545222be80
hex2976aea5c

11130301020 has 96 divisors (see below), whose sum is σ = 31349102400. Its totient is φ = 2950594560.

The previous prime is 11130300991. The next prime is 11130301031. The reversal of 11130301020 is 2010303111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11130300987 and 11130301005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9652764 + ... + 9653916.

It is an arithmetic number, because the mean of its divisors is an integer number (326553150).

Almost surely, 211130301020 is an apocalyptic number.

11130301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130301020 is an abundant number, since it is smaller than the sum of its proper divisors (20218801380).

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

11130301020 is a wasteful number, since it uses less digits than its factorization.

11130301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11130301020 its reverse (2010303111), we get a palindrome (13140604131).

The spelling of 11130301020 in words is "eleven billion, one hundred thirty million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 461 698 922 1047 1153 1383 1396 1745 1844 2094 2305 2306 2766 3459 3490 4188 4610 4612 5235 5532 5765 6915 6918 6980 9220 10470 11530 13830 13836 17295 20940 23060 27660 34590 69180 160889 321778 402397 482667 531533 643556 804445 804794 965334 1063066 1207191 1594599 1608890 1609588 1930668 2011985 2126132 2413335 2414382 2657665 3189198 3217780 4023970 4826670 4828764 5315330 6035955 6378396 7972995 8047940 9653340 10630660 12071910 15945990 24143820 31891980 185505017 371010034 556515051 742020068 927525085 1113030102 1855050170 2226060204 2782575255 3710100340 5565150510 11130301020