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213202003033332 = 223312654115600419
BaseRepresentation
bin110000011110011111110101…
…101001111111110011110100
31000221212220122011110220112000
4300132133311221333303310
5210421100200234031312
62033235351552055300
762623223246460435
oct6036376551776364
91027786564426460
10213202003033332
1161a29509602895
121bab3b87534530
1391c6b2a233391
143a91063b7548c
15199ad1795badc
hexc1e7f5a7fcf4

213202003033332 has 48 divisors (see below), whose sum is σ = 552750337339200. Its totient is φ = 71066768173920.

The previous prime is 213202003033303. The next prime is 213202003033333. The reversal of 213202003033332 is 233330300202312.

213202003033332 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 20 + 0 + 303 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213202003033296 and 213202003033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202003033333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5866219 + ... + 21466637.

It is an arithmetic number, because the mean of its divisors is an integer number (11515632027900).

Almost surely, 2213202003033332 is an apocalyptic number.

It is an amenable number.

213202003033332 is an abundant number, since it is smaller than the sum of its proper divisors (339548334305868).

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

213202003033332 is a wasteful number, since it uses less digits than its factorization.

213202003033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15726973 (or 15726965 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 213202003033332 its reverse (233330300202312), we get a palindrome (446532303235644).

The spelling of 213202003033332 in words is "two hundred thirteen trillion, two hundred two billion, three million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 126541 253082 379623 506164 759246 1138869 1518492 2277738 3416607 4555476 6833214 13666428 15600419 31200838 46801257 62401676 93602514 140403771 187205028 280807542 421211313 561615084 842422626 1684845252 1974092620679 3948185241358 5922277862037 7896370482716 11844555724074 17766833586111 23689111448148 35533667172222 53300500758333 71067334344444 106601001516666 213202003033332