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211102010212122 = 23261192260482889
BaseRepresentation
bin101111111111111100000100…
…010101000111111100011010
31000200110011012001111102202100
4233333330010111013330122
5210132143404103241442
62024550531421544230
762315421415143321
oct5777740425077432
91020404161442670
10211102010212122
116129995038a497
121b814b98115076
1390a3aac803ca3
143a1b56b1b30b8
1519613ab1b184c
hexbfff04547f1a

211102010212122 has 24 divisors (see below), whose sum is σ = 464885847628020. Its totient is φ = 69213773839680.

The previous prime is 211102010212109. The next prime is 211102010212153. The reversal of 211102010212122 is 221212010201112.

211102010212122 is a `hidden beast` number, since 21 + 110 + 201 + 0 + 212 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209381739260841 + 1720270951281 = 14470029^2 + 1311591^2 .

It is a super-2 number, since 2×2111020102121222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211102010212095 and 211102010212104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96130240347 + ... + 96130242542.

Almost surely, 2211102010212122 is an apocalyptic number.

211102010212122 is an abundant number, since it is smaller than the sum of its proper divisors (253783837415898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211102010212122 is a wasteful number, since it uses less digits than its factorization.

211102010212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192260482958 (or 192260482955 counting only the distinct ones).

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

Adding to 211102010212122 its reverse (221212010201112), we get a palindrome (432314020413234).

The spelling of 211102010212122 in words is "two hundred eleven trillion, one hundred two billion, ten million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 192260482889 384520965778 576781448667 1153562897334 1730344346001 3460688692002 11727889456229 23455778912458 35183668368687 70367336737374 105551005106061 211102010212122