Search a number
-
+
20221231133205 = 35516642988587
BaseRepresentation
bin1001001100100000111110…
…10011000111001000010101
32122121010112100212111200000
410212100133103013020111
510122301040132230310
6111001301053041513
74154635646436264
oct446203723071025
978533470774600
1020221231133205
116496859898913
122327015486299
13b38b14082a0b
144dc9d9d3a5db
152510021b14c0
hex12641f4c7215

20221231133205 has 24 divisors (see below), whose sum is σ = 36348287076192. Its totient is φ = 10784656603728.

The previous prime is 20221231133203. The next prime is 20221231133239. The reversal of 20221231133205 is 50233113212202.

20221231133205 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 12 + 311 + 332 + 0 + 5 = 666.

It is not a de Polignac number, because 20221231133205 - 21 = 20221231133203 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221231133203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8321493079 + ... + 8321495508.

It is an arithmetic number, because the mean of its divisors is an integer number (1514511961508).

Almost surely, 220221231133205 is an apocalyptic number.

It is an amenable number.

20221231133205 is a deficient number, since it is larger than the sum of its proper divisors (16127055942987).

20221231133205 is an equidigital number, since it uses as much as digits as its factorization.

20221231133205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16642988607 (or 16642988595 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20221231133205 its reverse (50233113212202), we get a palindrome (70454344345407).

The spelling of 20221231133205 in words is "twenty trillion, two hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-three thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 16642988587 49928965761 83214942935 149786897283 249644828805 449360691849 748934486415 1348082075547 2246803459245 4044246226641 6740410377735 20221231133205