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102219219 = 3347109739
BaseRepresentation
bin1100001011110…
…11110111010011
321010100021102000
412011323313103
5202132003334
614050525043
72350564134
oct605736723
9233307360
10102219219
11527778a3
122a296783
131823c95b
14d80bc8b
158e92299
hex617bdd3

102219219 has 32 divisors (see below), whose sum is σ = 156288000. Its totient is φ = 65994912.

The previous prime is 102219217. The next prime is 102219223. The reversal of 102219219 is 912912201.

It is not a de Polignac number, because 102219219 - 21 = 102219217 is a prime.

It is a super-2 number, since 2×1022192192 = 20897537465939922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102219192 and 102219201.

It is not an unprimeable number, because it can be changed into a prime (102219217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137952 + ... + 138690.

It is an arithmetic number, because the mean of its divisors is an integer number (4884000).

Almost surely, 2102219219 is an apocalyptic number.

102219219 is a deficient number, since it is larger than the sum of its proper divisors (54068781).

102219219 is a wasteful number, since it uses less digits than its factorization.

102219219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 102219219 is about 10110.3520710211. The cubic root of 102219219 is about 467.5673598689.

The spelling of 102219219 in words is "one hundred two million, two hundred nineteen thousand, two hundred nineteen".

Divisors: 1 3 9 27 47 109 141 327 423 739 981 1269 2217 2943 5123 6651 15369 19953 34733 46107 80551 104199 138321 241653 312597 724959 937791 2174877 3785897 11357691 34073073 102219219