Search a number
-
+
4422205432131 = 32397660720967
BaseRepresentation
bin100000001011001111111…
…1110111110000101000011
3120122202111002200220022020
41000112133332332011003
51034423134042312011
613223311053412523
7634331241653244
oct100263776760503
916582432626266
104422205432131
1114554a0752873
125b507779a143
132610209c5716
1411407067accb
157a072061006
hex4059ffbe143

4422205432131 has 16 divisors (see below), whose sum is σ = 6216062866944. Its totient is φ = 2790885360384.

The previous prime is 4422205432111. The next prime is 4422205432147. The reversal of 4422205432131 is 1312345022244.

It is a happy number.

It is not a de Polignac number, because 4422205432131 - 210 = 4422205431107 is a prime.

It is a super-3 number, since 3×44222054321313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4422205432092 and 4422205432101.

It is not an unprimeable number, because it can be changed into a prime (4422205432111) 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 15 ways as a sum of consecutive naturals, for example, 330353791 + ... + 330367176.

It is an arithmetic number, because the mean of its divisors is an integer number (388503929184).

Almost surely, 24422205432131 is an apocalyptic number.

4422205432131 is a deficient number, since it is larger than the sum of its proper divisors (1793857434813).

4422205432131 is a wasteful number, since it uses less digits than its factorization.

4422205432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660721090.

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 4422205432131 in words is "four trillion, four hundred twenty-two billion, two hundred five million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 23 69 97 291 2231 6693 660720967 1982162901 15196582241 45589746723 64089933799 192269801397 1474068477377 4422205432131