Search a number
-
+
1233213120 = 26335142733
BaseRepresentation
bin100100110000001…
…0101011011000000
310011221111201101000
41021200111123000
510011200304440
6322212012000
742363065346
oct11140253300
93157451330
101233213120
115831312a7
122a5001000
13168652b09
14b9ad7996
15733eb730
hex498156c0

1233213120 has 112 divisors (see below), whose sum is σ = 4350532320. Its totient is φ = 328854528.

The previous prime is 1233213101. The next prime is 1233213151. The reversal of 1233213120 is 213123321.

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 = 1233213093 and 1233213102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62727 + ... + 80006.

Almost surely, 21233213120 is an apocalyptic number.

1233213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233213120 is an abundant number, since it is smaller than the sum of its proper divisors (3117319200).

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

1233213120 is a wasteful number, since it uses less digits than its factorization.

1233213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142759 (or 142743 counting only the distinct ones).

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

The square root of 1233213120 is about 35117.1342794369. The cubic root of 1233213120 is about 1072.3734311981.

Adding to 1233213120 its reverse (213123321), we get a palindrome (1446336441).

It can be divided in two parts, 12332 and 13120, that added together give a palindrome (25452).

The spelling of 1233213120 in words is "one billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 142733 285466 428199 570932 713665 856398 1141864 1284597 1427330 1712796 2140995 2283728 2569194 2854660 3425592 3853791 4281990 4567456 5138388 5709320 6422985 6851184 7707582 8563980 9134912 10276776 11418640 12845970 13702368 15415164 17127960 19268955 20553552 22837280 25691940 27404736 30830328 34255920 38537910 41107104 45674560 51383880 61660656 68511840 77075820 82214208 102767760 123321312 137023680 154151640 205535520 246642624 308303280 411071040 616606560 1233213120