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220010120122221 = 321113243305810437
BaseRepresentation
bin110010000001100100011001…
…000011101000111101101101
31001211222202120112220001001200
4302001210121003220331231
5212314121211222402341
62055531130501000113
764225130606062062
oct6201443103507555
91054882515801050
10220010120122221
116411384a17aa60
12208135280b3039
13959bb330ca800
143c48791d52c69
151a67e7c60edb6
hexc819190e8f6d

220010120122221 has 72 divisors (see below), whose sum is σ = 384132160897056. Its totient is φ = 120220198600320.

The previous prime is 220010120122159. The next prime is 220010120122229. The reversal of 220010120122221 is 122221021010022.

It is a happy number.

220010120122221 is a `hidden beast` number, since 2 + 200 + 1 + 0 + 120 + 122 + 221 = 666.

It is not a de Polignac number, because 220010120122221 - 218 = 220010119860077 is a prime.

It is a super-2 number, since 2×2200101201222212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220010120122194 and 220010120122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010120122229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152185786 + ... + 153624651.

It is an arithmetic number, because the mean of its divisors is an integer number (5335168901348).

Almost surely, 2220010120122221 is an apocalyptic number.

It is an amenable number.

220010120122221 is a deficient number, since it is larger than the sum of its proper divisors (164122040774835).

220010120122221 is a wasteful number, since it uses less digits than its factorization.

220010120122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305810523 (or 305810507 counting only the distinct ones).

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

Adding to 220010120122221 its reverse (122221021010022), we get a palindrome (342231141132243).

It can be divided in two parts, 2200101 and 20122221, that added together give a palindrome (22322322).

The spelling of 220010120122221 in words is "two hundred twenty trillion, ten billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 43 99 117 129 143 169 387 429 473 507 559 1287 1419 1521 1677 1859 4257 5031 5577 6149 7267 16731 18447 21801 55341 65403 79937 239811 719433 305810437 917431311 2752293933 3363914807 3975535681 10091744421 11926607043 13149848791 30275233263 35779821129 39449546373 43730892491 51681963853 118348639119 131192677473 144648336701 155045891559 170948034283 393578032419 433945010103 465137674677 512844102849 568501602383 1301835030309 1538532308547 1705504807149 1880428377113 2222324445679 5116514421447 5641285131339 6666973337037 16923855394017 20000920011111 24445568902469 73336706707407 220010120122221