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2112022210221 = 337111735158549
BaseRepresentation
bin11110101110111110010…
…101010110011010101101
321110220111110101202021000
4132232332111112122231
5234100410141211341
64254125525430513
7305405610403110
oct36567625263255
97426443352230
102112022210221
11744781528410
122a13a7b6b439
131242169b3a71
1474318470577
1539e128c38b6
hex1ebbe5566ad

2112022210221 has 64 divisors (see below), whose sum is σ = 3901284864000. Its totient is φ = 1097072424000.

The previous prime is 2112022210141. The next prime is 2112022210223. The reversal of 2112022210221 is 1220122202112.

It is a happy number.

2112022210221 is a `hidden beast` number, since 21 + 1 + 202 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 2112022210221 - 29 = 2112022209709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112022210194 and 2112022210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112022210223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36043455 + ... + 36102003.

It is an arithmetic number, because the mean of its divisors is an integer number (60957576000).

Almost surely, 22112022210221 is an apocalyptic number.

2112022210221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112022210221 is a deficient number, since it is larger than the sum of its proper divisors (1789262653779).

2112022210221 is a wasteful number, since it uses less digits than its factorization.

2112022210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75927 (or 75921 counting only the distinct ones).

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

Adding to 2112022210221 its reverse (1220122202112), we get a palindrome (3332144412333).

The spelling of 2112022210221 in words is "two trillion, one hundred twelve billion, twenty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 17351 52053 58549 121457 156159 175647 190861 364371 409843 468477 526941 572583 644039 1093113 1229529 1336027 1580823 1717749 1932117 3279339 3688587 4008081 4508273 5153247 5796351 11065761 12024243 13524819 17389053 36072729 40574457 121723371 1015883699 3047651097 7111185893 9142953291 11174720689 21333557679 27428859873 33524162067 64000673037 78223044823 100572486201 192002019111 234669134469 301717458603 704007403407 2112022210221