[go: up one dir, main page]

Search a number
-
+
1323201132 = 223211231311109
BaseRepresentation
bin100111011011110…
…0111001001101100
310102012211120201100
41032313213021230
510202214414012
6335144443100
744535011151
oct11667471154
93365746640
101323201132
11619a04660
1230b179490
1318119c466
14c7a40228
157b2748dc
hex4ede726c

1323201132 has 144 divisors (see below), whose sum is σ = 3839996160. Its totient is φ = 380265600.

The previous prime is 1323201119. The next prime is 1323201133. The reversal of 1323201132 is 2311023231.

It is a super-2 number, since 2×13232011322 = 3501722471452162848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1323201133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192594 + ... + 1193702.

It is an arithmetic number, because the mean of its divisors is an integer number (26666640).

Almost surely, 21323201132 is an apocalyptic number.

1323201132 is a gapful number since it is divisible by the number (12) 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 1323201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919998080).

1323201132 is an abundant number, since it is smaller than the sum of its proper divisors (2516795028).

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

1323201132 is a wasteful number, since it uses less digits than its factorization.

1323201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1279 counting only the distinct ones).

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

The square root of 1323201132 is about 36375.8317018319. The cubic root of 1323201132 is about 1097.8473415921.

Adding to 1323201132 its reverse (2311023231), we get a palindrome (3634224363).

The spelling of 1323201132 in words is "one billion, three hundred twenty-three million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 131 132 138 198 207 253 262 276 393 396 414 506 524 759 786 828 1012 1109 1179 1441 1518 1572 2218 2277 2358 2882 3013 3036 3327 4323 4436 4554 4716 5764 6026 6654 8646 9039 9108 9981 12052 12199 12969 13308 17292 18078 19962 24398 25507 25938 27117 33143 36156 36597 39924 48796 51014 51876 54234 66286 73194 76521 99429 102028 108468 109791 132572 145279 146388 153042 198858 219582 229563 280577 290558 298287 306084 397716 435837 439164 459126 561154 581116 596574 841731 871674 918252 1122308 1193148 1307511 1598069 1683462 1743348 2525193 2615022 3196138 3341417 3366924 4794207 5050386 5230044 6392276 6682834 9588414 10024251 10100772 13365668 14382621 19176828 20048502 28765242 30072753 36755587 40097004 57530484 60145506 73511174 110266761 120291012 147022348 220533522 330800283 441067044 661600566 1323201132