Search a number
-
+
11123322030 = 233559369473
BaseRepresentation
bin10100101110000000…
…00110110010101110
31001201012111022021000
422113000012302232
5140240032301110
65035431221130
7542434451202
oct122700066256
931635438230
1011123322030
114798909527
1221a52177a6
131083645672
14777412b02
154517ee1c0
hex297006cae

11123322030 has 64 divisors (see below), whose sum is σ = 29712640320. Its totient is φ = 2961174528.

The previous prime is 11123322029. The next prime is 11123322043. The reversal of 11123322030 is 3022332111.

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 = 11123321994 and 11123322012.

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, 125374 + ... + 194846.

It is an arithmetic number, because the mean of its divisors is an integer number (464260005).

Almost surely, 211123322030 is an apocalyptic number.

11123322030 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 11123322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856320160).

11123322030 is an abundant number, since it is smaller than the sum of its proper divisors (18589318290).

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

11123322030 is a wasteful number, since it uses less digits than its factorization.

11123322030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70082 (or 70076 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11123322030 its reverse (3022332111), we get a palindrome (14145654141).

The spelling of 11123322030 in words is "eleven billion, one hundred twenty-three million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 593 1186 1779 2965 3558 5337 5930 8895 10674 16011 17790 26685 32022 53370 69473 80055 138946 160110 208419 347365 416838 625257 694730 1042095 1250514 1875771 2084190 3126285 3751542 6252570 9378855 18757710 41197489 82394978 123592467 205987445 247184934 370777401 411974890 617962335 741554802 1112332203 1235924670 1853887005 2224664406 3707774010 5561661015 11123322030