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2002102011112 = 2371716312902137
BaseRepresentation
bin11101001000100110100…
…101000100010011101000
321002101202221011002010111
4131020212211010103220
5230300301103323422
64131430350224104
7264434645206240
oct35104645042350
97071687132114
102002102011112
117020a5432955
1228402bab5034
13116a49ba7728
146cc8bb00b20
153712c7e0a77
hex1d2269444e8

2002102011112 has 64 divisors (see below), whose sum is σ = 4570453365120. Its totient is φ = 802616076288.

The previous prime is 2002102011103. The next prime is 2002102011127. The reversal of 2002102011112 is 2111102012002.

It is a junction number, because it is equal to n+sod(n) for n = 2002102011092 and 2002102011101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6295893 + ... + 6606244.

It is an arithmetic number, because the mean of its divisors is an integer number (71413333830).

Almost surely, 22002102011112 is an apocalyptic number.

It is an amenable number.

2002102011112 is an abundant number, since it is smaller than the sum of its proper divisors (2568351354008).

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

2002102011112 is a wasteful number, since it uses less digits than its factorization.

2002102011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902330 (or 12902326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2002102011112 its reverse (2111102012002), we get a palindrome (4113204023114).

The spelling of 2002102011112 in words is "two trillion, two billion, one hundred two million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 163 238 326 476 652 952 1141 1304 2282 2771 4564 5542 9128 11084 19397 22168 38794 77588 155176 12902137 25804274 51608548 90314959 103217096 180629918 219336329 361259836 438672658 722519672 877345316 1535354303 1754690632 2103048331 3070708606 4206096662 6141417212 8412193324 12282834424 14721338317 16824386648 29442676634 35751821627 58885353268 71503643254 117770706536 143007286508 250262751389 286014573016 500525502778 1001051005556 2002102011112