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1102111222221 = 322329343353479
BaseRepresentation
bin10000000010011010111…
…100101010100111001101
310220100202000200222011100
4100002122330222213031
5121024110433102341
62202145232213313
7142424225551242
oct20023274524715
93810660628140
101102111222221
11395448064549
1215971a99a239
137cc0c2c50a9
143b4b1a355c9
151da05ed33b6
hex1009af2a9cd

1102111222221 has 48 divisors (see below), whose sum is σ = 1718966995200. Its totient is φ = 678350889216.

The previous prime is 1102111222217. The next prime is 1102111222253. The reversal of 1102111222221 is 1222221112011.

1102111222221 is a `hidden beast` number, since 1 + 10 + 211 + 1 + 222 + 221 = 666.

It is not a de Polignac number, because 1102111222221 - 22 = 1102111222217 is a prime.

It is a super-2 number, since 2×11021112222212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102111222194 and 1102111222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102111222271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20581560 + ... + 20635038.

It is an arithmetic number, because the mean of its divisors is an integer number (35811812400).

Almost surely, 21102111222221 is an apocalyptic number.

It is an amenable number.

1102111222221 is a deficient number, since it is larger than the sum of its proper divisors (616855772979).

1102111222221 is a wasteful number, since it uses less digits than its factorization.

1102111222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56970 (or 56967 counting only the distinct ones).

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

Adding to 1102111222221 its reverse (1222221112011), we get a palindrome (2324332334232).

The spelling of 1102111222221 in words is "one trillion, one hundred two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 23 29 69 87 207 261 667 2001 3433 6003 10299 30897 53479 78959 99557 160437 236877 298671 481311 710631 896013 1230017 1550891 2289811 3690051 4652673 6869433 11070153 13958019 20608299 35670493 107011479 183593407 321034437 550780221 1652340663 4222648361 5324208803 12667945083 15972626409 38003835249 47917879227 122456802469 367370407407 1102111222221