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22111100109 = 3272192819391
BaseRepresentation
bin10100100101111011…
…001001110011001101
32010001221221021011200
4110211323021303031
5330240420200414
614054021340113
71411635151500
oct244573116315
963057837150
1022111100109
11941715985a
124350b67639
132114b80cb7
1410da821137
15896277109
hex525ec9ccd

22111100109 has 72 divisors (see below), whose sum is σ = 39251422080. Its totient is φ = 11926051200.

The previous prime is 22111100093. The next prime is 22111100119. The reversal of 22111100109 is 90100111122.

It is a happy number.

It is not a de Polignac number, because 22111100109 - 24 = 22111100093 is a prime.

It is a super-4 number, since 4×221111001094 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22111100091 and 22111100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111100119) 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 71 ways as a sum of consecutive naturals, for example, 2349804 + ... + 2359194.

It is an arithmetic number, because the mean of its divisors is an integer number (545158640).

Almost surely, 222111100109 is an apocalyptic number.

It is an amenable number.

22111100109 is a deficient number, since it is larger than the sum of its proper divisors (17140321971).

22111100109 is a wasteful number, since it uses less digits than its factorization.

22111100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 22111100109 in words is "twenty-two billion, one hundred eleven million, one hundred thousand, one hundred nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 281 399 441 843 931 1197 1967 2529 2793 5339 5901 8379 9391 13769 16017 17703 28173 37373 41307 48051 65737 84519 112119 123921 178429 197211 261611 336357 460159 535287 591633 784833 1249003 1380477 1605861 2354499 2638871 3747009 4141431 7916613 8743021 11241027 18472097 23749839 26229063 50138549 55416291 78687189 129304679 150415647 166248873 350969843 387914037 451246941 1052909529 1163742111 2456788901 3158728587 7370366703 22111100109