[go: up one dir, main page]

Search a number
-
+
1323111120 = 24353724027
BaseRepresentation
bin100111011011101…
…0001001011010000
310102012200000020120
41032313101023100
510202204023440
6335142510240
744534154552
oct11667211320
93365600216
101323111120
11619952a71
1230b135380
1318116a4b6
14c7a194d2
157b257dd0
hex4edd12d0

1323111120 has 120 divisors (see below), whose sum is σ = 4216542624. Its totient is φ = 343208448.

The previous prime is 1323111103. The next prime is 1323111131. The reversal of 1323111120 is 211113231.

It is a happy number.

1323111120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 1323111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326547 + ... + 330573.

Almost surely, 21323111120 is an apocalyptic number.

1323111120 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 1323111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108271312).

1323111120 is an abundant number, since it is smaller than the sum of its proper divisors (2893431504).

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

1323111120 is a wasteful number, since it uses less digits than its factorization.

1323111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1323111120 is about 36374.5944307287. The cubic root of 1323111120 is about 1097.8224469953.

Adding to 1323111120 its reverse (211113231), we get a palindrome (1534224351).

It can be divided in two parts, 1323111 and 120, that added together give a palindrome (1323231).

The spelling of 1323111120 in words is "one billion, three hundred twenty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1369 1480 1776 2220 2738 2960 4027 4107 4440 5476 6845 8054 8214 8880 10952 12081 13690 16108 16428 20135 20535 21904 24162 27380 32216 32856 40270 41070 48324 54760 60405 64432 65712 80540 82140 96648 109520 120810 148999 161080 164280 193296 241620 297998 322160 328560 446997 483240 595996 744995 893994 966480 1191992 1489990 1787988 2234985 2383984 2979980 3575976 4469970 5512963 5959960 7151952 8939940 11025926 11919920 16538889 17879880 22051852 27564815 33077778 35759760 44103704 55129630 66155556 82694445 88207408 110259260 132311112 165388890 220518520 264622224 330777780 441037040 661555560 1323111120