Search a number
-
+
20231211232221 = 31134631011117509
BaseRepresentation
bin1001001100110011100100…
…01010001010101111011101
32122122002021220012001202220
410212121302022022233131
510122432010033412341
6111010031245135553
74155441163044003
oct446316212125735
978562256161686
1020231211232221
1164a001034aa30
122328b3b85a5b9
13b39a448c2b52
144dd2a559ca73
152513d843ca66
hex12667228abdd

20231211232221 has 32 divisors (see below), whose sum is σ = 29440306544640. Its totient is φ = 12255887131200.

The previous prime is 20231211232187. The next prime is 20231211232273. The reversal of 20231211232221 is 12223211213202.

It is not a de Polignac number, because 20231211232221 - 211 = 20231211230173 is a prime.

It is a super-3 number, since 3×202312112322213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20231211232191 and 20231211232200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231211239221) 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 31 ways as a sum of consecutive naturals, for example, 1155466215 + ... + 1155483723.

It is an arithmetic number, because the mean of its divisors is an integer number (920009579520).

Almost surely, 220231211232221 is an apocalyptic number.

It is an amenable number.

20231211232221 is a deficient number, since it is larger than the sum of its proper divisors (9209095312419).

20231211232221 is a wasteful number, since it uses less digits than its factorization.

20231211232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31097.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20231211232221 its reverse (12223211213202), we get a palindrome (32454422445423).

The spelling of 20231211232221 in words is "twenty trillion, two hundred thirty-one billion, two hundred eleven million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 3463 10111 10389 17509 30333 38093 52527 111221 114279 192599 333663 577797 35014393 60633667 105043179 177033499 181901001 385158323 531100497 666970337 1155474969 1947368489 2000911011 5842105467 613067007037 1839201021111 6743737077407 20231211232221