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20110101331221 = 35117995233163
BaseRepresentation
bin1001001001010001111110…
…11100100011110100010101
32122012111200112112122100000
410210220333130203310111
510113440441420044341
6110434241503441513
74143623025630426
oct444507734436425
978174615478300
1020110101331221
116453711a28860
1223095802b6299
13b2b4b379c335
144d7496a9b64d
1524d19ace78b6
hex124a3f723d15

20110101331221 has 48 divisors (see below), whose sum is σ = 33278276828160. Its totient is φ = 12033662350320.

The previous prime is 20110101331217. The next prime is 20110101331273. The reversal of 20110101331221 is 12213310101102.

20110101331221 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 101 + 331 + 221 = 666.

It is not a de Polignac number, because 20110101331221 - 22 = 20110101331217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20110101331194 and 20110101331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110001331221) 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 47 ways as a sum of consecutive naturals, for example, 47405415 + ... + 47827748.

It is an arithmetic number, because the mean of its divisors is an integer number (693297433920).

Almost surely, 220110101331221 is an apocalyptic number.

It is an amenable number.

20110101331221 is a deficient number, since it is larger than the sum of its proper divisors (13168175496939).

20110101331221 is an equidigital number, since it uses as much as digits as its factorization.

20110101331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95233268 (or 95233256 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20110101331221 its reverse (12213310101102), we get a palindrome (32323411432323).

The spelling of 20110101331221 in words is "twenty trillion, one hundred ten billion, one hundred one million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 79 81 99 237 243 297 711 869 891 2133 2607 2673 6399 7821 19197 23463 70389 211167 95233163 285699489 857098467 1047564793 2571295401 3142694379 7523419877 7713886203 9428083137 22570259631 23141658609 28284249411 67710778893 82757618647 84852748233 203132336679 248272855941 254558244699 609397010037 744818567823 1828191030111 2234455703469 6703367110407 20110101331221