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1131231400 = 2352133111399
BaseRepresentation
bin100001101101101…
…0011100010101000
32220211121111202021
41003123103202220
54304043401100
6304130114224
740014210505
oct10333234250
92824544667
101131231400
11530606992
12276a1b974
131504972c0
14aa34c4ac
15694a4a1a
hex436d38a8

1131231400 has 96 divisors (see below), whose sum is σ = 2843568000. Its totient is φ = 416044800.

The previous prime is 1131231389. The next prime is 1131231421. The reversal of 1131231400 is 41321311.

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, 807901 + ... + 809299.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 21131231400 is an apocalyptic number.

1131231400 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 1131231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784000).

1131231400 is an abundant number, since it is smaller than the sum of its proper divisors (1712336600).

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

1131231400 is a wasteful number, since it uses less digits than its factorization.

1131231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1131231400 is about 33633.7836111253. The cubic root of 1131231400 is about 1041.9586486734.

Adding to 1131231400 its reverse (41321311), we get a palindrome (1172552711).

The spelling of 1131231400 in words is "one billion, one hundred thirty-one million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 311 325 520 622 650 1244 1300 1399 1555 2488 2600 2798 3110 4043 5596 6220 6995 7775 8086 11192 12440 13990 15550 16172 18187 20215 27980 31100 32344 34975 36374 40430 55960 62200 69950 72748 80860 90935 101075 139900 145496 161720 181870 202150 279800 363740 404300 435089 454675 727480 808600 870178 909350 1740356 1818700 2175445 3480712 3637400 4350890 5656157 8701780 10877225 11312314 17403560 21754450 22624628 28280785 43508900 45249256 56561570 87017800 113123140 141403925 226246280 282807850 565615700 1131231400