Search a number
-
+
1201300716 = 22371117312467
BaseRepresentation
bin100011110011010…
…0110010011101100
310002201110101210010
41013212212103230
54430013110331
6315112013220
741524613310
oct10746462354
93081411703
101201300716
11567115010
12296391210
13161b5b535
14b578bb40
15706e5e46
hex479a64ec

1201300716 has 192 divisors, whose sum is σ = 3821174784. Its totient is φ = 284083200.

The previous prime is 1201300691. The next prime is 1201300721. The reversal of 1201300716 is 6170031021.

It is a super-2 number, since 2×12013007162 = 2886246820524225312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1201300692 and 1201300701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485715 + ... + 488181.

It is an arithmetic number, because the mean of its divisors is an integer number (19901952).

Almost surely, 21201300716 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 1201300716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910587392).

1201300716 is an abundant number, since it is smaller than the sum of its proper divisors (2619874068).

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

1201300716 is a wasteful number, since it uses less digits than its factorization.

1201300716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1201300716 is about 34659.7852849668. The cubic root of 1201300716 is about 1063.0423797090.

Adding to 1201300716 its reverse (6170031021), we get a palindrome (7371331737).

The spelling of 1201300716 in words is "one billion, two hundred one million, three hundred thousand, seven hundred sixteen".