Search a number
-
+
1314043100 = 22521031131129
BaseRepresentation
bin100111001010010…
…1011010011011100
310101120121022020222
41032110223103130
510142343334400
6334220300512
744364116306
oct11624532334
93346538228
101314043100
1161481a037
123080a1738
1317c313bc6
14c6738976
157a566185
hex4e52b4dc

1314043100 has 72 divisors (see below), whose sum is σ = 2907209760. Its totient is φ = 515450880.

The previous prime is 1314043091. The next prime is 1314043111. The reversal of 1314043100 is 13404131.

It is a super-2 number, since 2×13140431002 = 3453418537315220000, which contains 22 as substring.

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, 1163336 + ... + 1164464.

Almost surely, 21314043100 is an apocalyptic number.

1314043100 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 1314043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453604880).

1314043100 is an abundant number, since it is smaller than the sum of its proper divisors (1593166660).

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

1314043100 is a wasteful number, since it uses less digits than its factorization.

1314043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1314043100 is about 36249.7324128055. The cubic root of 1314043100 is about 1095.3086985751.

Adding to 1314043100 its reverse (13404131), we get a palindrome (1327447231).

The spelling of 1314043100 in words is "one billion, three hundred fourteen million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 113 206 226 412 452 515 565 1030 1129 1130 2060 2258 2260 2575 2825 4516 5150 5645 5650 10300 11290 11300 11639 22580 23278 28225 46556 56450 58195 112900 116287 116390 127577 232574 232780 255154 290975 465148 510308 581435 581950 637885 1162870 1163900 1275770 2325740 2551540 2907175 3189425 5814350 6378850 11628700 12757700 13140431 26280862 52561724 65702155 131404310 262808620 328510775 657021550 1314043100