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20112122101221 = 323318317811747
BaseRepresentation
bin1001001001010101101111…
…11001001011110111100101
32122012200220100222101122100
410210222313321023313211
510114004111224214341
6110435214211522313
74144024064116233
oct444526771136745
978180810871570
1020112122101221
116454559671207
122309a44bb9399
13b2b746339427
144d7609201953
1524d26840e3b6
hex124ab7e4bde5

20112122101221 has 24 divisors (see below), whose sum is σ = 29142149333024. Its totient is φ = 13365949877280.

The previous prime is 20112122101187. The next prime is 20112122101297. The reversal of 20112122101221 is 12210122121102.

20112122101221 is a `hidden beast` number, since 20 + 1 + 1 + 212 + 210 + 1 + 221 = 666.

It is not a de Polignac number, because 20112122101221 - 213 = 20112122093029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20112122101194 and 20112122101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112122105221) 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, 24370470 + ... + 25182216.

Almost surely, 220112122101221 is an apocalyptic number.

It is an amenable number.

20112122101221 is a deficient number, since it is larger than the sum of its proper divisors (9030027231803).

20112122101221 is a wasteful number, since it uses less digits than its factorization.

20112122101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820401 (or 820398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20112122101221 its reverse (12210122121102), we get a palindrome (32322244222323).

The spelling of 20112122101221 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 331 993 2979 8317 24951 74853 811747 2435241 2752927 7305723 8258781 24776343 268688257 806064771 2418194313 6751299799 20253899397 60761698191 2234680233469 6704040700407 20112122101221