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211002012112221 = 321131733711994497
BaseRepresentation
bin101111111110011110111011…
…111110101001010101011101
31000200002121002000102121221200
4233332132323332221111131
5210124024110100042341
62024432553003350113
762305251363260421
oct5776367376512535
91020077060377850
10211002012112221
11612604a6031a20
121b7b972ab22339
13909753450b385
143a167a24c8b81
15195d9a71eedb6
hexbfe7bbfa955d

211002012112221 has 48 divisors (see below), whose sum is σ = 333635987475648. Its totient is φ = 127438720819200.

The previous prime is 211002012112187. The next prime is 211002012112253. The reversal of 211002012112221 is 122211210200112.

211002012112221 is a `hidden beast` number, since 21 + 10 + 0 + 201 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 211002012112221 - 223 = 211002003723613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211002012112194 and 211002012112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002012111221) 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, 104794845 + ... + 106789341.

It is an arithmetic number, because the mean of its divisors is an integer number (6950749739076).

Almost surely, 2211002012112221 is an apocalyptic number.

It is an amenable number.

211002012112221 is a deficient number, since it is larger than the sum of its proper divisors (122633975363427).

211002012112221 is a wasteful number, since it uses less digits than its factorization.

211002012112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998202 (or 1998199 counting only the distinct ones).

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

Adding to 211002012112221 its reverse (122211210200112), we get a palindrome (333213222312333).

It can be divided in two parts, 2110020 and 12112221, that added together give a palindrome (14222241).

The spelling of 211002012112221 in words is "two hundred eleven trillion, two billion, twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 317 951 2853 3371 3487 10113 10461 30339 31383 37081 111243 333729 1068607 1994497 3205821 5983491 9617463 11754677 17950473 21939467 35264031 65818401 105792093 197455203 632255549 1896766647 5690299941 6723449387 6954811039 20170348161 20864433117 60511044483 62593299351 73957943257 221873829771 665621489313 2131333455679 6394000367037 19182001101111 23444668012469 70334004037407 211002012112221