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2150313000 = 2335311173833
BaseRepresentation
bin1000000000101011…
…0010110000101000
312112212012012220020
42000022302300220
513400440004000
6553212400440
7104200234053
oct20012626050
95485165806
102150313000
11a03882a90
12500176120
13283655874
14165825a9a
15c8ba4ba0
hex802b2c28

2150313000 has 256 divisors, whose sum is σ = 7751427840. Its totient is φ = 490496000.

The previous prime is 2150312959. The next prime is 2150313023. The reversal of 2150313000 is 3130512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 559084 + ... + 562916.

It is an arithmetic number, because the mean of its divisors is an integer number (30279015).

Almost surely, 22150313000 is an apocalyptic number.

2150313000 is a gapful number since it is divisible by the number (20) 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 2150313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875713920).

2150313000 is an abundant number, since it is smaller than the sum of its proper divisors (5601114840).

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

2150313000 is a wasteful number, since it uses less digits than its factorization.

2150313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2150313000 is about 46371.4675204484. The cubic root of 2150313000 is about 1290.7255098026.

Adding to 2150313000 its reverse (3130512), we get a palindrome (2153443512).

The spelling of 2150313000 in words is "two billion, one hundred fifty million, three hundred thirteen thousand".