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20120210010112 = 212105124447
BaseRepresentation
bin1001001001100100110011…
…11110000111000000000000
32122020110210000210201212111
410210302121332013000000
510114122142230310422
6110443032531505104
74144431363162442
oct444623176070000
978213700721774
1020120210010112
116457a2a021933
12230b521758194
13b2c434b4b734
144d7b75430492
1524d58d4c1a77
hex124c99f87000

20120210010112 has 78 divisors (see below), whose sum is σ = 40282883759904. Its totient is φ = 10048272998400.

The previous prime is 20120210010037. The next prime is 20120210010161. The reversal of 20120210010112 is 21101001202102.

It is a super-2 number, since 2×201202100101122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20120210010092 and 20120210010101.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4524443473 + ... + 4524447919.

Almost surely, 220120210010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20141441879952).

20120210010112 is an abundant number, since it is smaller than the sum of its proper divisors (20162673749792).

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

20120210010112 is an frugal number, since it uses more digits than its factorization.

20120210010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 5500 counting only the distinct ones).

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

Adding to 20120210010112 its reverse (21101001202102), we get a palindrome (41221211212214).

The spelling of 20120210010112 in words is "twenty trillion, one hundred twenty billion, two hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1051 2048 2102 4096 4204 4447 8408 8894 16816 17788 33632 35576 67264 71152 134528 142304 269056 284608 538112 569216 1076224 1104601 1138432 2152448 2209202 2276864 4304896 4418404 4553728 4673797 8836808 9107456 9347594 17673616 18214912 18695188 35347232 37390376 70694464 74780752 141388928 149561504 282777856 299123008 565555712 598246016 1131111424 1196492032 2262222848 2392984064 4524445696 4785968128 4912160647 9571936256 9824321294 19143872512 19648642588 39297285176 78594570352 157189140704 314378281408 628756562816 1257513125632 2515026251264 5030052502528 10060105005056 20120210010112