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4211122401 = 329723920183
BaseRepresentation
bin1111101100000000…
…1010000011100001
3101212110222011221100
43323000022003201
532111021404101
61533510545013
7206232643533
oct37300120341
911773864840
104211122401
111871083652
12996368169
135215a1405
142bd3cd853
15199a79e86
hexfb00a0e1

4211122401 has 24 divisors (see below), whose sum is σ = 6171459840. Its totient is φ = 2766710016.

The previous prime is 4211122379. The next prime is 4211122427. The reversal of 4211122401 is 1042211124.

4211122401 is a `hidden beast` number, since 421 + 1 + 1 + 2 + 240 + 1 = 666.

It is not a de Polignac number, because 4211122401 - 25 = 4211122369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4211122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198556 + ... + 218738.

It is an arithmetic number, because the mean of its divisors is an integer number (257144160).

Almost surely, 24211122401 is an apocalyptic number.

It is an amenable number.

4211122401 is a deficient number, since it is larger than the sum of its proper divisors (1960337439).

4211122401 is a wasteful number, since it uses less digits than its factorization.

4211122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20525 (or 20522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4211122401 is about 64893.1614347768. The cubic root of 4211122401 is about 1614.8516129197.

Adding to 4211122401 its reverse (1042211124), we get a palindrome (5253333525).

The spelling of 4211122401 in words is "four billion, two hundred eleven million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 97 239 291 717 873 2151 20183 23183 60549 69549 181647 208647 1957751 4823737 5873253 14471211 17619759 43413633 467902489 1403707467 4211122401