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220212210112002 = 234401264313147
BaseRepresentation
bin110010000100100000100110…
…100011110001011000000010
31001212201002012112212012120000
4302010200212203301120002
5212330424101242041002
62100204032010500430
764245543565461543
oct6204404643613002
91055632175765500
10220212210112002
1164191523762439
1220846727734716
1395b4bcb411414
143c544838364ca
151a6d3592c061c
hexc848268f1602

220212210112002 has 120 divisors (see below), whose sum is σ = 495479062969968. Its totient is φ = 73101582691200.

The previous prime is 220212210111997. The next prime is 220212210112021. The reversal of 220212210112002 is 200211012212022.

It is a happy number.

220212210112002 is a `hidden beast` number, since 220 + 21 + 2 + 210 + 11 + 200 + 2 = 666.

It is a super-3 number, since 3×2202122101120023 (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 16749990393 + ... + 16750003539.

Almost surely, 2220212210112002 is an apocalyptic number.

220212210112002 is an abundant number, since it is smaller than the sum of its proper divisors (275266852857966).

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

220212210112002 is an equidigital number, since it uses as much as digits as its factorization.

220212210112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14606 (or 14196 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220212210112002 its reverse (200211012212022), we get a palindrome (420423222324024).

The spelling of 220212210112002 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred ten million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 401 643 802 1203 1286 1929 2406 3609 3858 5787 7218 10827 11574 13147 17361 21654 26294 32481 34722 39441 52083 64962 78882 104166 118323 160801 236646 257843 321602 354969 482403 515686 709938 773529 964806 1064907 1447209 1547058 2129814 2320587 2894418 4341627 4641174 5271947 6961761 8453521 8683254 10543894 13024881 13923522 15815841 16907042 20885283 25360563 26049762 31631682 41770566 47447523 50721126 76081689 94895046 103395043 142342569 152163378 206790086 228245067 284685138 310185129 427027707 456490134 620370258 684735201 854055414 930555387 1369470402 1861110774 2114050747 2791666161 3389861921 4228101494 5583332322 6342152241 6779723842 8374998483 10169585763 12684304482 16749996966 19026456723 20339171526 30508757289 38052913446 57079370169 61017514578 91526271867 114158740338 171238110507 183052543734 274578815601 342476221014 549157631202 1359334630321 2718669260642 4078003890963 8156007781926 12234011672889 24468023345778 36702035018667 73404070037334 110106105056001 220212210112002