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122201022010221 = 327111391268606123
BaseRepresentation
bin11011110010010000100100…
…100000100001001101101101
3121000200022012100000001212100
4123302100210200201031231
5112004120143113311341
61111522212521125313
734511506146450660
oct3362204440411555
9530608170001770
10122201022010221
1135a34187172640
1211857463029839
13532567895578b
1422267bd63b6d7
15e1dae06853b6
hex6f242482136d

122201022010221 has 48 divisors (see below), whose sum is σ = 221650861985280. Its totient is φ = 63024352140960.

The previous prime is 122201022010217. The next prime is 122201022010259. The reversal of 122201022010221 is 122010220102221.

It is a happy number.

122201022010221 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 0 + 220 + 1 + 0 + 221 = 666.

It is not a de Polignac number, because 122201022010221 - 22 = 122201022010217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122201022010194 and 122201022010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201022010211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634206735 + ... + 634399388.

It is an arithmetic number, because the mean of its divisors is an integer number (4617726291360).

Almost surely, 2122201022010221 is an apocalyptic number.

122201022010221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201022010221 is a deficient number, since it is larger than the sum of its proper divisors (99449839975059).

122201022010221 is a wasteful number, since it uses less digits than its factorization.

122201022010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268606286 (or 1268606283 counting only the distinct ones).

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

Adding to 122201022010221 its reverse (122010220102221), we get a palindrome (244211242112442).

It can be divided in two parts, 1 and 22201022010221, that added together give a palindrome (22201022010222).

The spelling of 122201022010221 in words is "one hundred twenty-two trillion, two hundred one billion, twenty-two million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 139 231 417 693 973 1251 1529 2919 4587 8757 10703 13761 32109 96327 1268606123 3805818369 8880242861 11417455107 13954667353 26640728583 41864002059 79922185749 97682671471 125592006177 176336251097 293048014413 529008753291 879144043239 1234353757679 1587026259873 1939698762067 3703061273037 5819096286201 11109183819111 13577891334469 17457288858603 40733674003407 122201022010221