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3214130010 = 2357213792129
BaseRepresentation
bin1011111110010011…
…1011101101011010
322021222221201111020
42333210323231122
523040304130020
61250533543310
7142435440300
oct27744735532
98258851436
103214130010
1113aa3244a3
127584a4b36
133c2b781a0
14226c26270
1513c28ec40
hexbf93bb5a

3214130010 has 192 divisors, whose sum is σ = 9790502400. Its totient is φ = 669247488.

The previous prime is 3214129957. The next prime is 3214130033. The reversal of 3214130010 is 100314123.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1508626 + ... + 1510754.

It is an arithmetic number, because the mean of its divisors is an integer number (50992200).

Almost surely, 23214130010 is an apocalyptic number.

3214130010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895251200).

3214130010 is an abundant number, since it is smaller than the sum of its proper divisors (6576372390).

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

3214130010 is a wasteful number, since it uses less digits than its factorization.

3214130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3214130010 is about 56693.2977520271. The cubic root of 3214130010 is about 1475.7783898821.

Adding to 3214130010 its reverse (100314123), we get a palindrome (3314444133).

The spelling of 3214130010 in words is "three billion, two hundred fourteen million, one hundred thirty thousand, ten".