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102210021219 = 3195930392513
BaseRepresentation
bin101111100110000110…
…0010010011101100011
3100202211012012001102110
41133030030102131203
53133311231134334
6114542111250403
710245600563025
oct1371414223543
9322735161373
10102210021219
113a38a98a819
1217985b19a03
13983b63c4c7
144d3878a015
1529d3285ae9
hex17cc312763

102210021219 has 16 divisors (see below), whose sum is σ = 145884067200. Its totient is φ = 63459565056.

The previous prime is 102210021217. The next prime is 102210021233. The reversal of 102210021219 is 912120012201.

It is not a de Polignac number, because 102210021219 - 21 = 102210021217 is a prime.

It is a super-3 number, since 3×1022100212193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210021195 and 102210021204.

It is not an unprimeable number, because it can be changed into a prime (102210021217) 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 15 ways as a sum of consecutive naturals, for example, 15192894 + ... + 15199619.

It is an arithmetic number, because the mean of its divisors is an integer number (9117754200).

Almost surely, 2102210021219 is an apocalyptic number.

102210021219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102210021219 is a deficient number, since it is larger than the sum of its proper divisors (43674045981).

102210021219 is a wasteful number, since it uses less digits than its factorization.

102210021219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30392594.

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

The spelling of 102210021219 in words is "one hundred two billion, two hundred ten million, twenty-one thousand, two hundred nineteen".

Divisors: 1 3 19 57 59 177 1121 3363 30392513 91177539 577457747 1732373241 1793158267 5379474801 34070007073 102210021219