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1130331400 = 2352111015087
BaseRepresentation
bin100001101011111…
…0111110100001000
32220202220210011221
41003113313310020
54303331101100
6304054531424
740003441552
oct10327676410
92822823157
101130331400
11530051790
12276666b74
13150240763
14aa1964d2
156937801a
hex435f7d08

1130331400 has 96 divisors (see below), whose sum is σ = 2895886080. Its totient is φ = 406880000.

The previous prime is 1130331361. The next prime is 1130331409. The reversal of 1130331400 is 41330311.

It is not an unprimeable number, because it can be changed into a prime (1130331409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219657 + ... + 224743.

It is an arithmetic number, because the mean of its divisors is an integer number (30165480).

Almost surely, 21130331400 is an apocalyptic number.

1130331400 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 1130331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447943040).

1130331400 is an abundant number, since it is smaller than the sum of its proper divisors (1765554680).

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

1130331400 is a wasteful number, since it uses less digits than its factorization.

1130331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1130331400 is about 33620.4015443004. The cubic root of 1130331400 is about 1041.6822502913.

Adding to 1130331400 its reverse (41330311), we get a palindrome (1171661711).

The spelling of 1130331400 in words is "one billion, one hundred thirty million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5087 5555 8888 10100 10174 11110 20200 20348 22220 25435 27775 40696 44440 50870 55550 55957 101740 111100 111914 127175 203480 222200 223828 254350 279785 447656 508700 513787 559570 1017400 1027574 1119140 1398925 2055148 2238280 2568935 2797850 4110296 5137870 5595700 5651657 10275740 11191400 11303314 12844675 20551480 22606628 25689350 28258285 45213256 51378700 56516570 102757400 113033140 141291425 226066280 282582850 565165700 1130331400