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22102211019 = 374313103
BaseRepresentation
bin10100100101011001…
…001111100111001011
32010001100012122122010
4110211121033213023
5330231131223034
614053103031003
71411466460000
oct244531174713
963040178563
1022102211019
1194121382a9
124349b9b463
13211308ac95
1410d95898a7
158955bd3e9
hex52564f9cb

22102211019 has 80 divisors (see below), whose sum is σ = 35870009344. Its totient is φ = 12103756560.

The previous prime is 22102211011. The next prime is 22102211041. The reversal of 22102211019 is 91011220122.

It is not a de Polignac number, because 22102211019 - 23 = 22102211011 is a prime.

It is a super-2 number, since 2×221022110192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22102210986 and 22102211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102211011) 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 79 ways as a sum of consecutive naturals, for example, 214584522 + ... + 214584624.

Almost surely, 222102211019 is an apocalyptic number.

22102211019 is a deficient number, since it is larger than the sum of its proper divisors (13767798325).

22102211019 is an frugal number, since it uses more digits than its factorization.

22102211019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 22102211019 in words is "twenty-two billion, one hundred two million, two hundred eleven thousand, nineteen".

Divisors: 1 3 7 21 31 49 93 103 147 217 309 343 651 721 961 1029 1519 2163 2401 2883 3193 4557 5047 6727 7203 9579 10633 15141 20181 22351 29791 31899 35329 47089 67053 74431 89373 98983 105987 141267 156457 208537 223293 247303 296949 329623 469371 625611 692881 741909 988869 1095199 1459759 2078643 2307361 3068473 3285597 4379277 4850167 6922083 7666393 9205419 10218313 14550501 21479311 22999179 30654939 33951169 64437933 71528191 101853507 150355177 214584573 237658183 451065531 712974549 1052486239 3157458717 7367403673 22102211019