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1120213000 = 23532514463
BaseRepresentation
bin100001011000101…
…0001100000001000
32220001212201100101
41002301101200020
54243233304000
6303054015144
736521440054
oct10261214010
92801781311
101120213000
11525370675
122731a74b4
1314b10a03a
14a8ac0c64
1568529e6a
hex42c51808

1120213000 has 64 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 446200000.

The previous prime is 1120212997. The next prime is 1120213009. The reversal of 1120213000 is 3120211.

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 (1120213009) 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, 248769 + ... + 253231.

It is an arithmetic number, because the mean of its divisors is an integer number (41130180).

Almost surely, 21120213000 is an apocalyptic number.

1120213000 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 1120213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1120213000 is an abundant number, since it is smaller than the sum of its proper divisors (1512118520).

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

1120213000 is a wasteful number, since it uses less digits than its factorization.

1120213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4721 counting only the distinct ones).

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

The square root of 1120213000 is about 33469.5832062486. The cubic root of 1120213000 is about 1038.5646496047.

Adding to 1120213000 its reverse (3120211), we get a palindrome (1123333211).

The spelling of 1120213000 in words is "one billion, one hundred twenty million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 500 502 1000 1004 1255 2008 2510 4463 5020 6275 8926 10040 12550 17852 22315 25100 31375 35704 44630 50200 62750 89260 111575 125500 178520 223150 251000 446300 557875 892600 1115750 1120213 2231500 2240426 4463000 4480852 5601065 8961704 11202130 22404260 28005325 44808520 56010650 112021300 140026625 224042600 280053250 560106500 1120213000