Search a number
-
+
12230011320 = 2335491920719
BaseRepresentation
bin10110110001111011…
…10010100110111000
31011120022220221120020
423120331302212320
5200021340330240
65341323330440
7612033244452
oct133075624670
934508827506
1012230011320
11520658257a
122453980a20
1311cb9c8cb7
148403b32d2
154b8a570d0
hex2d8f729b8

12230011320 has 64 divisors (see below), whose sum is σ = 36699264000. Its totient is φ = 3260515968.

The previous prime is 12230011309. The next prime is 12230011331. The reversal of 12230011320 is 2311003221.

It is an interprime number because it is at equal distance from previous prime (12230011309) and next prime (12230011331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12230011320.

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 15 ways as a sum of consecutive naturals, for example, 579921 + ... + 600639.

It is an arithmetic number, because the mean of its divisors is an integer number (573426000).

Almost surely, 212230011320 is an apocalyptic number.

12230011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230011320 is an abundant number, since it is smaller than the sum of its proper divisors (24469252680).

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

12230011320 is a wasteful number, since it uses less digits than its factorization.

12230011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25652 (or 25648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12230011320 its reverse (2311003221), we get a palindrome (14541014541).

The spelling of 12230011320 in words is "twelve billion, two hundred thirty million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4919 9838 14757 19676 20719 24595 29514 39352 41438 49190 59028 62157 73785 82876 98380 103595 118056 124314 147570 165752 196760 207190 248628 295140 310785 414380 497256 590280 621570 828760 1243140 2486280 101916761 203833522 305750283 407667044 509583805 611500566 815334088 1019167610 1223001132 1528751415 2038335220 2446002264 3057502830 4076670440 6115005660 12230011320