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221211020112122 = 24121012712403911
BaseRepresentation
bin110010010011000010110100…
…010001100011000011111010
31002000020120022100002101002102
4302103002310101203003322
5212443310132122041442
62102250534551303402
764410653203422305
oct6223026421430372
91060216270071072
10221211020112122
1164537080991857
122098821707ab62
139658156ca7401
143c8a955bd3b3c
151a89316324232
hexc930b44630fa

221211020112122 has 48 divisors (see below), whose sum is σ = 344741981375232. Its totient is φ = 106445134800000.

The previous prime is 221211020112067. The next prime is 221211020112143.

221211020112122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221211020112094 and 221211020112103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90819347 + ... + 93223257.

It is an arithmetic number, because the mean of its divisors is an integer number (7182124611984).

Almost surely, 2221211020112122 is an apocalyptic number.

221211020112122 is a deficient number, since it is larger than the sum of its proper divisors (123530961263110).

221211020112122 is a wasteful number, since it uses less digits than its factorization.

221211020112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404367 (or 2404326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 221211020112122 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 41 82 101 202 271 542 1681 3362 4141 8282 11111 22222 27371 54742 169781 339562 455551 911102 1122211 2244422 2403911 4807822 46010651 92021302 98560351 197120702 242795011 485590022 651459881 1302919762 4040974391 8081948782 9954595451 19909190902 26709855121 53419710242 65797447981 131594895962 408138413491 816276826982 1095104059961 2190208119922 2697695367221 5395390734442 110605510056061 221211020112122