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213013003213332 = 22327845289695291
BaseRepresentation
bin110000011011101111110100…
…011000111001101000010100
31000221012211210102222021011200
4300123233310120321220110
5210410001112310311312
62033012453414032500
762603452536506160
oct6033576430715024
91027184712867150
10213013003213332
1161966342092743
121ba8341b948730
1391b2069ba276a
143a85c549adca0
151995e550b00dc
hexc1bbf4639a14

213013003213332 has 36 divisors (see below), whose sum is σ = 615370898172576. Its totient is φ = 60860858060880.

The previous prime is 213013003213331. The next prime is 213013003213333. The reversal of 213013003213332 is 233312300310312.

213013003213332 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 3 + 0 + 0 + 321 + 3 + 332 = 666.

213013003213332 is digitally balanced in base 2 and base 4, because in such bases 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 (213013003213331) and next prime (213013003213333).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 213013003213296 and 213013003213305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013003213331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422644847394 + ... + 422644847897.

Almost surely, 2213013003213332 is an apocalyptic number.

It is an amenable number.

213013003213332 is an abundant number, since it is smaller than the sum of its proper divisors (402357894959244).

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

213013003213332 is a wasteful number, since it uses less digits than its factorization.

213013003213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845289695308 (or 845289695303 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213013003213332 its reverse (233312300310312), we get a palindrome (446325303523644).

The spelling of 213013003213332 in words is "two hundred thirteen trillion, thirteen billion, three million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 845289695291 1690579390582 2535869085873 3381158781164 5071738171746 5917027867037 7607607257619 10143476343492 11834055734074 15215214515238 17751083601111 23668111468148 30430429030476 35502167202222 53253250803333 71004334404444 106506501606666 213013003213332