Search a number
-
+
4022241010001 = 17718527390809
BaseRepresentation
bin111010100010000000001…
…111110010000101010001
3112020112002220002001222022
4322202000033302011101
51011400022144310001
612315443024021225
7563411611321634
oct72420017620521
915215086061868
104022241010001
111310906210675
1254b654461815
132323ac863196
14dc96b0d9c1b
156e96384411b
hex3a8803f2151

4022241010001 has 16 divisors (see below), whose sum is σ = 4319344673280. Its totient is φ = 3731872488960.

The previous prime is 4022241009931. The next prime is 4022241010009. The reversal of 4022241010001 is 1000101422204.

It is a cyclic number.

It is not a de Polignac number, because 4022241010001 - 222 = 4022236815697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4022241010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096685 + ... + 10487493.

It is an arithmetic number, because the mean of its divisors is an integer number (269959042080).

Almost surely, 24022241010001 is an apocalyptic number.

It is an amenable number.

4022241010001 is a deficient number, since it is larger than the sum of its proper divisors (297103663279).

4022241010001 is a wasteful number, since it uses less digits than its factorization.

4022241010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399424.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 4022241010001 its reverse (1000101422204), we get a palindrome (5022342432205).

The spelling of 4022241010001 in words is "four trillion, twenty-two billion, two hundred forty-one million, ten thousand, one".

Divisors: 1 17 71 1207 8527 144959 390809 605417 6643753 10292089 27747439 471706463 3332428343 56651281831 236602412353 4022241010001