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20111221111221 = 32157739147113093
BaseRepresentation
bin1001001001010100000100…
…01100001011100110110101
32122012121120120121100201100
410210222002030023212311
510114000240101024341
6110434544544320313
74143662543615232
oct444520214134665
978177516540640
1020111221111221
116454137023079
122309833313099
13b2b631787256
144d75616a8789
1524d2142893b6
hex124a8230b9b5

20111221111221 has 48 divisors (see below), whose sum is σ = 29296268385280. Its totient is φ = 13293995944320.

The previous prime is 20111221111211. The next prime is 20111221111237. The reversal of 20111221111221 is 12211112211102.

It is a happy number.

20111221111221 is a `hidden beast` number, since 2 + 0 + 111 + 221 + 111 + 221 = 666.

It is not a de Polignac number, because 20111221111221 - 29 = 20111221110709 is a prime.

It is a super-2 number, since 2×201112211112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20111221111194 and 20111221111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111221111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536021951 + ... + 1536035043.

Almost surely, 220111221111221 is an apocalyptic number.

It is an amenable number.

20111221111221 is a deficient number, since it is larger than the sum of its proper divisors (9185047274059).

20111221111221 is a wasteful number, since it uses less digits than its factorization.

20111221111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15466 (or 15463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 20111221111221 its reverse (12211112211102), we get a palindrome (32322333322323).

The spelling of 20111221111221 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 157 471 739 1413 1471 2217 4413 6651 13093 13239 39279 116023 117837 230947 348069 692841 1044207 1087069 2055601 2078523 3261207 6166803 9675727 9783621 18500409 19259803 29027181 57779409 87081543 170669833 173338227 512009499 1519089139 1536028497 3023789071 4557267417 9071367213 13671802251 14232994417 27214101639 42698983251 128096949753 2234580123469 6703740370407 20111221111221