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1145313300 = 2235234910939
BaseRepresentation
bin100010001000100…
…0001100000010100
32221211002221111010
41010101001200110
54321200011200
6305352012220
740245000555
oct10421014024
92854087433
101145313300
1153855491a
1227b691070
13153387aa1
14ac17632c
156a837150
hex44441814

1145313300 has 72 divisors (see below), whose sum is σ = 3323572000. Its totient is φ = 304513920.

The previous prime is 1145313289. The next prime is 1145313319. The reversal of 1145313300 is 33135411.

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, 99231 + ... + 110169.

Almost surely, 21145313300 is an apocalyptic number.

1145313300 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 1145313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661786000).

1145313300 is an abundant number, since it is smaller than the sum of its proper divisors (2178258700).

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

1145313300 is a wasteful number, since it uses less digits than its factorization.

1145313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1145313300 is about 33842.4777461698. The cubic root of 1145313300 is about 1046.2643670528.

Adding to 1145313300 its reverse (33135411), we get a palindrome (1178448711).

It can be divided in two parts, 11453 and 13300, that added together give a triangular number (24753 = T222).

The spelling of 1145313300 in words is "one billion, one hundred forty-five million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 349 698 1047 1396 1745 2094 3490 4188 5235 6980 8725 10470 10939 17450 20940 21878 26175 32817 34900 43756 52350 54695 65634 104700 109390 131268 164085 218780 273475 328170 546950 656340 820425 1093900 1640850 3281700 3817711 7635422 11453133 15270844 19088555 22906266 38177110 45812532 57265665 76354220 95442775 114531330 190885550 229062660 286328325 381771100 572656650 1145313300