Search a number
-
+
1223120001300 = 2235221787187133
BaseRepresentation
bin10001110011000111101…
…000100001100100010100
311022221002100001212101220
4101303013220201210110
5130014422210020200
62333521002250340
7154240024320441
oct21630750414424
94287070055356
101223120001300
114317a439928a
121790704b69b0
138b4554a1552
14432b0d329c8
1521c398014a0
hex11cc7a21914

1223120001300 has 72 divisors (see below), whose sum is σ = 3539075213856. Its totient is φ = 326148620160.

The previous prime is 1223120001203. The next prime is 1223120001319. The reversal of 1223120001300 is 31000213221.

It is a super-2 number, since 2×12231200013002 (a number of 25 digits) contains 22 as substring.

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 1223120001300.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6442534 + ... + 6629666.

Almost surely, 21223120001300 is an apocalyptic number.

1223120001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223120001300 is an abundant number, since it is smaller than the sum of its proper divisors (2315955212556).

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

1223120001300 is a wasteful number, since it uses less digits than its factorization.

1223120001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208937 (or 208930 counting only the distinct ones).

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

Adding to 1223120001300 its reverse (31000213221), we get a palindrome (1254120214521).

The spelling of 1223120001300 in words is "one trillion, two hundred twenty-three billion, one hundred twenty million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 21787 43574 65361 87148 108935 130722 187133 217870 261444 326805 374266 435740 544675 561399 653610 748532 935665 1089350 1122798 1307220 1634025 1871330 2178700 2245596 2806995 3268050 3742660 4678325 5613990 6536100 9356650 11227980 14034975 18713300 28069950 56139900 4077066671 8154133342 12231200013 16308266684 20385333355 24462400026 40770666710 48924800052 61156000065 81541333420 101926666775 122312000130 203853333550 244624000260 305780000325 407706667100 611560000650 1223120001300