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2400212000421 = 322991871001003
BaseRepresentation
bin100010111011010111110…
…010001001111010100101
322111110100220022221212100
4202323113302021322211
5303311113233003141
65034350413042313
7335260330244064
oct42732762117245
98443326287770
102400212000421
11845a19112244
12329216186399
13145453a9bc41
1484256c7a1db
154267d3010b6
hex22ed7c89ea5

2400212000421 has 24 divisors (see below), whose sum is σ = 3586917653280. Its totient is φ = 1544794334496.

The previous prime is 2400212000393. The next prime is 2400212000443. The reversal of 2400212000421 is 1240002120042.

2400212000421 is a `hidden beast` number, since 2 + 40 + 0 + 2 + 1 + 200 + 0 + 421 = 666.

It is not a de Polignac number, because 2400212000421 - 219 = 2400211476133 is a prime.

It is a super-2 number, since 2×24002120004212 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400212000394 and 2400212000403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400212000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1897306 + ... + 2898308.

It is an arithmetic number, because the mean of its divisors is an integer number (149454902220).

Almost surely, 22400212000421 is an apocalyptic number.

It is an amenable number.

2400212000421 is a deficient number, since it is larger than the sum of its proper divisors (1186705652859).

2400212000421 is a wasteful number, since it uses less digits than its factorization.

2400212000421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010225 (or 1010222 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2400212000421 its reverse (1240002120042), we get a palindrome (3640214120463).

The spelling of 2400212000421 in words is "two trillion, four hundred billion, two hundred twelve million, four hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 29 87 261 9187 27561 82683 266423 799269 1001003 2397807 3003009 9009027 29029087 87087261 261261783 9196214561 27588643683 82765931049 266690222269 800070666807 2400212000421