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2135330010 = 23251119611861
BaseRepresentation
bin111111101000110…
…1000110011011010
312111211000000002200
41333101220303122
513333121030020
6551515311030
7103626001632
oct17721506332
95454000080
102135330010
119a637a050
124b714b476
1328050aba8
141638456c2
15c76e5590
hex7f468cda

2135330010 has 192 divisors, whose sum is σ = 6483335040. Its totient is φ = 482112000.

The previous prime is 2135329993. The next prime is 2135330011. The reversal of 2135330010 is 100335312.

2135330010 is a `hidden beast` number, since 2 + 1 + 353 + 300 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2135330011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1146480 + ... + 1148340.

It is an arithmetic number, because the mean of its divisors is an integer number (33767370).

Almost surely, 22135330010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

2135330010 is an abundant number, since it is smaller than the sum of its proper divisors (4348005030).

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

2135330010 is a wasteful number, since it uses less digits than its factorization.

2135330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 2135330010 is about 46209.6311389736. The cubic root of 2135330010 is about 1287.7206730182.

Adding to 2135330010 its reverse (100335312), we get a palindrome (2235665322).

The spelling of 2135330010 in words is "two billion, one hundred thirty-five million, three hundred thirty thousand, ten".