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102002220012 = 223711909112143
BaseRepresentation
bin101111011111111001…
…1100101101111101100
3100202021201011122202110
41132333303211233230
53132400032020022
6114505325324020
710240465364430
oct1367763455754
9322251148673
10102002220012
113a293659690
1217928406610
139807583404
144d18d369c0
1529bedda00c
hex17bfce5bec

102002220012 has 96 divisors (see below), whose sum is σ = 296790810624. Its totient is φ = 26488987200.

The previous prime is 102002220011. The next prime is 102002220053. The reversal of 102002220012 is 210022200201.

102002220012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102002220012.

It is not an unprimeable number, because it can be changed into a prime (102002220011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8394013 + ... + 8406155.

It is an arithmetic number, because the mean of its divisors is an integer number (3091570944).

Almost surely, 2102002220012 is an apocalyptic number.

102002220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002220012 is an abundant number, since it is smaller than the sum of its proper divisors (194788590612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002220012 is a wasteful number, since it uses less digits than its factorization.

102002220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21259 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102002220012 its reverse (210022200201), we get a palindrome (312024420213).

The spelling of 102002220012 in words is "one hundred two billion, two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 9091 12143 18182 24286 27273 36364 36429 48572 54546 63637 72858 85001 100001 109092 127274 133573 145716 170002 190911 200002 254548 255003 267146 300003 340004 381822 400004 400719 510006 534292 600006 700007 763644 801438 935011 1020012 1200012 1400014 1602876 1870022 2100021 2800028 2805033 3740044 4200042 5610066 8400084 11220132 110392013 220784026 331176039 441568052 662352078 772744091 1214312143 1324704156 1545488182 2318232273 2428624286 3090976364 3642936429 4636464546 4857248572 7285872858 8500185001 9272929092 14571745716 17000370002 25500555003 34000740004 51001110006 102002220012