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211221201102012 = 2232101239443548671
BaseRepresentation
bin110000000001101011000100…
…101010010010010010111100
31000200212112211200011222211200
4300001223010222102102330
5210141122004440231022
62025121402532215500
762330141161040163
oct6001530452222274
91020775750158750
10211221201102012
1161335454551172
121b834100a6a590
1390b20c619897a
143a23236c9c3da
1519645350e0bac
hexc01ac4a924bc

211221201102012 has 144 divisors (see below), whose sum is σ = 542685944586240. Its totient is φ = 69261467184000.

The previous prime is 211221201102001. The next prime is 211221201102083. The reversal of 211221201102012 is 210201102122112.

211221201102012 is a `hidden beast` number, since 211 + 22 + 120 + 110 + 201 + 2 = 666.

It is a super-2 number, since 2×2112212011020122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 384694437 + ... + 385243107.

It is an arithmetic number, because the mean of its divisors is an integer number (3768652392960).

Almost surely, 2211221201102012 is an apocalyptic number.

It is an amenable number.

211221201102012 is an abundant number, since it is smaller than the sum of its proper divisors (331464743484228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211221201102012 is a wasteful number, since it uses less digits than its factorization.

211221201102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549464 (or 549459 counting only the distinct ones).

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

Adding to 211221201102012 its reverse (210201102122112), we get a palindrome (421422303224124).

The spelling of 211221201102012 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 239 303 404 443 478 606 717 886 909 956 1212 1329 1434 1772 1818 2151 2658 2868 3636 3987 4302 5316 7974 8604 15948 24139 44743 48278 72417 89486 96556 105877 134229 144834 178972 211754 217251 268458 289668 317631 402687 423508 434502 536916 548671 635262 805374 869004 952893 1097342 1270524 1610748 1646013 1905786 2194684 3292026 3811572 4938039 6584052 9876078 10693577 19752156 21387154 32080731 42774308 55415771 64161462 96242193 110831542 128322924 131132369 166247313 192484386 221663084 243061253 262264738 332494626 384968772 393397107 486122506 498741939 524529476 664989252 729183759 786794214 972245012 997483878 1180191321 1458367518 1573588428 1994967756 2187551277 2360382642 2916735036 4375102554 4720765284 8750205108 13244369269 24549186553 26488738538 39733107807 49098373106 52977477076 58091639467 73647559659 79466215614 98196746212 116183278934 119199323421 147295119318 158932431228 174274918401 220942678977 232366557868 238398646842 294590238636 348549836802 441885357954 476797293684 522824755203 697099673604 883770715908 1045649510406 2091299020812 5867255586167 11734511172334 17601766758501 23469022344668 35203533517002 52805300275503 70407067034004 105610600551006 211221201102012