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102002219 = 1141226169
BaseRepresentation
bin1100001010001…
…10111000101011
321002221020201222
412011012320223
5202103032334
614042132255
72346001364
oct605067053
9232836658
10102002219
1152639860
122a1b108b
1318194c57
14d792b6b
158e4cd2e
hex6146e2b

102002219 has 8 divisors (see below), whose sum is σ = 113989680. Its totient is φ = 90467200.

The previous prime is 102002191. The next prime is 102002249. The reversal of 102002219 is 912200201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102002219 - 216 = 101936683 is a prime.

It is a super-2 number, since 2×1020022192 = 20808905361847922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002197 and 102002206.

It is not an unprimeable number, because it can be changed into a prime (102002249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112634 + ... + 113535.

It is an arithmetic number, because the mean of its divisors is an integer number (14248710).

Almost surely, 2102002219 is an apocalyptic number.

102002219 is a deficient number, since it is larger than the sum of its proper divisors (11987461).

102002219 is a wasteful number, since it uses less digits than its factorization.

102002219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226221.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102002219 is about 10099.6147946345. The cubic root of 102002219 is about 467.2362610127.

The spelling of 102002219 in words is "one hundred two million, two thousand, two hundred nineteen".

Divisors: 1 11 41 451 226169 2487859 9272929 102002219