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22101201112221 = 3271168294670093
BaseRepresentation
bin1010000011001110101100…
…01111011100110010011101
32220020212001201001112002100
411001213112033130302131
510344101224441042341
6115001052430115313
74440521236545240
oct501472617346235
986225051045070
1022101201112221
11705108093a350
12258b43b64bb39
13c4419914b31a
145659bd4ab257
15284d827583b6
hex1419d63dcc9d

22101201112221 has 48 divisors (see below), whose sum is σ = 39807134040960. Its totient is φ = 11479459743360.

The previous prime is 22101201112213. The next prime is 22101201112231. The reversal of 22101201112221 is 12221110210122.

22101201112221 is a `hidden beast` number, since 2 + 210 + 120 + 1 + 112 + 221 = 666.

It is not a de Polignac number, because 22101201112221 - 23 = 22101201112213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101201112194 and 22101201112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101201112231) 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, 2397451 + ... + 7067543.

It is an arithmetic number, because the mean of its divisors is an integer number (829315292520).

Almost surely, 222101201112221 is an apocalyptic number.

22101201112221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22101201112221 is a deficient number, since it is larger than the sum of its proper divisors (17705932928739).

22101201112221 is a wasteful number, since it uses less digits than its factorization.

22101201112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676946 (or 4676943 counting only the distinct ones).

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

Adding to 22101201112221 its reverse (12221110210122), we get a palindrome (34322311322343).

The spelling of 22101201112221 in words is "twenty-two trillion, one hundred one billion, two hundred one million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 6829 20487 47803 61461 75119 143409 225357 430227 525833 676071 1577499 4670093 4732497 14010279 32690651 42030837 51371023 98071953 154113069 294215859 359597161 462339207 1078791483 3236374449 31892065097 95676195291 223244455679 287028585873 350812716067 669733367037 1052438148201 2009200101111 2455689012469 3157314444603 7367067037407 22101201112221