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3112201000 = 23536135077
BaseRepresentation
bin1011100110000000…
…0110101100101000
322000220011012011201
42321200012230220
522333210413000
61232453133544
7140060162206
oct27140065450
98026135151
103112201000
111357835747
1272a32a2b4
133a7a0a66c
14217492076
1513335896a
hexb9806b28

3112201000 has 64 divisors (see below), whose sum is σ = 7295867280. Its totient is φ = 1242604800.

The previous prime is 3112200989. The next prime is 3112201009. The reversal of 3112201000 is 1022113.

It can be written as a sum of positive squares in 8 ways, for example, as 47692836 + 3064508164 = 6906^2 + 55358^2 .

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 (3112201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610462 + ... + 615538.

Almost surely, 23112201000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647933640).

3112201000 is an abundant number, since it is smaller than the sum of its proper divisors (4183666280).

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

3112201000 is a wasteful number, since it uses less digits than its factorization.

3112201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5697 counting only the distinct ones).

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

The square root of 3112201000 is about 55787.1042446191. The cubic root of 3112201000 is about 1460.0101644379.

Adding to 3112201000 its reverse (1022113), we get a palindrome (3113223113).

The spelling of 3112201000 in words is "three billion, one hundred twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 613 1000 1226 2452 3065 4904 5077 6130 10154 12260 15325 20308 24520 25385 30650 40616 50770 61300 76625 101540 122600 126925 153250 203080 253850 306500 507700 613000 634625 1015400 1269250 2538500 3112201 5077000 6224402 12448804 15561005 24897608 31122010 62244020 77805025 124488040 155610050 311220100 389025125 622440200 778050250 1556100500 3112201000