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2313003000 = 23353711171931
BaseRepresentation
bin1000100111011101…
…1001111111111000
312222012022201121210
42021313121333320
514214112044000
61021303403120
7111214125660
oct21167317770
95865281553
102313003000
11a876a2430
125467534a0
132ab278839
1417d2951a0
15d80de350
hex89dd9ff8

2313003000 has 1024 divisors, whose sum is σ = 10351411200. Its totient is φ = 414720000.

The previous prime is 2313002959. The next prime is 2313003037. The reversal of 2313003000 is 3003132.

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 255 ways as a sum of consecutive naturals, for example, 74612985 + ... + 74613015.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 22313003000 is an apocalyptic number.

2313003000 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 2313003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175705600).

2313003000 is an abundant number, since it is smaller than the sum of its proper divisors (8038408200).

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

2313003000 is a wasteful number, since it uses less digits than its factorization.

2313003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2313003000 is about 48093.6898147772. The cubic root of 2313003000 is about 1322.4889906805.

Adding to 2313003000 its reverse (3003132), we get a palindrome (2316006132).

The spelling of 2313003000 in words is "two billion, three hundred thirteen million, three thousand".