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201002111212 = 227643110910067
BaseRepresentation
bin1011101100110010101…
…0001101000011101100
3201012211011221012122111
42323030222031003230
511243123020024322
6232201124453404
720344006520020
oct2731452150354
9635734835574
10201002111212
11782764a7191
1232b5724a264
1315c53b182a6
149a2b21c380
155366421177
hex2ecca8d0ec

201002111212 has 48 divisors (see below), whose sum is σ = 403032510720. Its totient is φ = 85923698112.

The previous prime is 201002111147. The next prime is 201002111227. The reversal of 201002111212 is 212111200102.

201002111212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010021112122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201002111192 and 201002111201.

It is an unprimeable number.

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, 19961403 + ... + 19971469.

It is an arithmetic number, because the mean of its divisors is an integer number (8396510640).

Almost surely, 2201002111212 is an apocalyptic number.

It is an amenable number.

201002111212 is an abundant number, since it is smaller than the sum of its proper divisors (202030399508).

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

201002111212 is a wasteful number, since it uses less digits than its factorization.

201002111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11830 (or 11828 counting only the distinct ones).

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

Adding to 201002111212 its reverse (212111200102), we get a palindrome (413113311314).

It can be divided in two parts, 20100 and 2111212, that added together give a palindrome (2131312).

The spelling of 201002111212 in words is "two hundred one billion, two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 643 1109 1286 2218 2572 4436 4501 7763 9002 10067 15526 18004 20134 31052 40268 70469 140938 281876 713087 1426174 2852348 4991609 6473081 9983218 11164303 12946162 19966436 22328606 25892324 44657212 45311567 78150121 90623134 156300242 181246268 312600484 7178646829 14357293658 28714587316 50250527803 100501055606 201002111212