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2101323000 = 233537472129
BaseRepresentation
bin111110100111111…
…1010010011111000
312102110000021020210
41331033322103320
513300414314000
6544302351120
7103033644060
oct17517722370
95373007223
102101323000
11989162087
124a788b4a0
132764620ba
1415d1123a0
15c4729350
hex7d3fa4f8

2101323000 has 256 divisors, whose sum is σ = 7655731200. Its totient is φ = 469862400.

The previous prime is 2101322999. The next prime is 2101323001. The reversal of 2101323000 is 3231012.

It is a happy number.

2101323000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2101322999) and next prime (2101323001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101323001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985936 + ... + 988064.

It is an arithmetic number, because the mean of its divisors is an integer number (29905200).

Almost surely, 22101323000 is an apocalyptic number.

2101323000 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 2101323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827865600).

2101323000 is an abundant number, since it is smaller than the sum of its proper divisors (5554408200).

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

2101323000 is a wasteful number, since it uses less digits than its factorization.

2101323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2193 counting only the distinct ones).

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

The square root of 2101323000 is about 45840.1897901830. The cubic root of 2101323000 is about 1280.8480301584.

Adding to 2101323000 its reverse (3231012), we get a palindrome (2104554012).

The spelling of 2101323000 in words is "two billion, one hundred one million, three hundred twenty-three thousand".