Search a number
-
+
1111313120 = 25517478693
BaseRepresentation
bin100001000111101…
…0100101011100000
32212110010120000012
41002033110223200
54233444004440
6302135144052
736353001641
oct10217245340
92773116005
101111313120
11520341aa5
12270215028
13149312138
14a78456c8
156786ce65
hex423d4ae0

1111313120 has 96 divisors (see below), whose sum is σ = 2839390848. Its totient is φ = 409427968.

The previous prime is 1111313117. The next prime is 1111313143. The reversal of 1111313120 is 213131111.

It is a happy number.

1111313120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1111313095 and 1111313104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123494 + ... + 132186.

It is an arithmetic number, because the mean of its divisors is an integer number (29576988).

Almost surely, 21111313120 is an apocalyptic number.

1111313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419695424).

1111313120 is an abundant number, since it is smaller than the sum of its proper divisors (1728077728).

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

1111313120 is a wasteful number, since it uses less digits than its factorization.

1111313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1111313120 is about 33336.3633289536. The cubic root of 1111313120 is about 1035.8069337063.

Adding to 1111313120 its reverse (213131111), we get a palindrome (1324444231).

The spelling of 1111313120 in words is "one billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 68 80 85 94 136 160 170 188 235 272 340 376 470 544 680 752 799 940 1360 1504 1598 1880 2720 3196 3760 3995 6392 7520 7990 8693 12784 15980 17386 25568 31960 34772 43465 63920 69544 86930 127840 139088 147781 173860 278176 295562 347720 408571 591124 695440 738905 817142 1182248 1390880 1477810 1634284 2042855 2364496 2955620 3268568 4085710 4728992 5911240 6537136 6945707 8171420 11822480 13074272 13891414 16342840 23644960 27782828 32685680 34728535 55565656 65371360 69457070 111131312 138914140 222262624 277828280 555656560 1111313120