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221210056221 = 371110711379201
BaseRepresentation
bin1100111000000100100…
…1011001011000011101
3210010222111202011211020
43032001021121120131
512111014233244341
6245342243114353
721660535311420
oct3160111313035
9703874664736
10221210056221
11858a6345390
1236a569729b9
1317b245cc5bb
14a9c6d939b7
155b4a565566
hex338125961d

221210056221 has 64 divisors (see below), whose sum is σ = 374451849216. Its totient is φ = 112831488000.

The previous prime is 221210056181. The next prime is 221210056229. The reversal of 221210056221 is 122650012122.

It is not a de Polignac number, because 221210056221 - 211 = 221210054173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221210056191 and 221210056200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210056229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2753421 + ... + 2832621.

It is an arithmetic number, because the mean of its divisors is an integer number (5850810144).

Almost surely, 2221210056221 is an apocalyptic number.

221210056221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221210056221 is a deficient number, since it is larger than the sum of its proper divisors (153241792995).

221210056221 is a wasteful number, since it uses less digits than its factorization.

221210056221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79442.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 221210056221 its reverse (122650012122), we get a palindrome (343860068343).

The spelling of 221210056221 in words is "two hundred twenty-one billion, two hundred ten million, fifty-six thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 107 113 231 321 339 749 791 1177 1243 2247 2373 3531 3729 8239 8701 12091 24717 26103 36273 79201 84637 133001 237603 253911 399003 554407 871211 931007 1663221 2613633 2793021 6098477 8474507 8949713 18295431 25423521 26849139 59321549 62647991 93219577 98446843 177964647 187943973 279658731 295340529 652537039 689127901 957619291 1957611117 2067383703 2872857873 6703335037 10533812201 20110005111 31601436603 73736685407 221210056221