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1130212000 = 2553436571
BaseRepresentation
bin100001101011101…
…1010101010100000
32220202200201101201
41003113122222200
54303313241000
6304052210544
740002433501
oct10327325240
92822621351
101130212000
1152aa80005
12276609a54
131501cb2c8
14aa164ba8
156935296a
hex435daaa0

1130212000 has 96 divisors (see below), whose sum is σ = 2841943104. Its totient is φ = 441504000.

The previous prime is 1130211997. The next prime is 1130212001. The reversal of 1130212000 is 2120311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1130212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168715 + ... + 175285.

It is an arithmetic number, because the mean of its divisors is an integer number (29603574).

Almost surely, 21130212000 is an apocalyptic number.

1130212000 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 1130212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420971552).

1130212000 is an abundant number, since it is smaller than the sum of its proper divisors (1711731104).

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

1130212000 is an equidigital number, since it uses as much as digits as its factorization.

1130212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1130212000 is about 33618.6257898802. The cubic root of 1130212000 is about 1041.6455704172.

Adding to 1130212000 its reverse (2120311), we get a palindrome (1132332311).

The spelling of 1130212000 in words is "one billion, one hundred thirty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6571 6880 8600 10750 13142 17200 21500 26284 32855 34400 43000 52568 65710 86000 105136 131420 164275 172000 210272 262840 282553 328550 525680 565106 657100 821375 1051360 1130212 1314200 1412765 1642750 2260424 2628400 2825530 3285500 4520848 5256800 5651060 6571000 7063825 9041696 11302120 13142000 14127650 22604240 26284000 28255300 35319125 45208480 56510600 70638250 113021200 141276500 226042400 282553000 565106000 1130212000