Search a number
-
+
1301223000 = 2335371143131
BaseRepresentation
bin100110110001111…
…0001011001011000
310100200110222101110
41031203301121120
510131103114000
6333041420320
744150133030
oct11543613130
93320428343
101301223000
11608563110
1230393a6a0
1317977584c
14c4b5c8c0
1579382850
hex4d8f1658

1301223000 has 512 divisors, whose sum is σ = 5218836480. Its totient is φ = 262080000.

The previous prime is 1301222977. The next prime is 1301223019. The reversal of 1301223000 is 3221031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9932935 + ... + 9933065.

It is an arithmetic number, because the mean of its divisors is an integer number (10193040).

Almost surely, 21301223000 is an apocalyptic number.

1301223000 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 1301223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609418240).

1301223000 is an abundant number, since it is smaller than the sum of its proper divisors (3917613480).

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

1301223000 is a wasteful number, since it uses less digits than its factorization.

1301223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1301223000 is about 36072.4687261629. The cubic root of 1301223000 is about 1091.7350254056.

Adding to 1301223000 its reverse (3221031), we get a palindrome (1304444031).

The spelling of 1301223000 in words is "one billion, three hundred one million, two hundred twenty-three thousand".