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212002112120 = 2357017560703
BaseRepresentation
bin1100010101110001001…
…1111000001001111000
3202021012210101011010112
43011130103320021320
511433140020041440
6241220433003452
721213416135351
oct3053423701170
9667183334115
10212002112120
1181a00735727
12351070b3588
1316cb7a43176
14a3920ccd28
1557abeb0965
hex315c4f8278

212002112120 has 32 divisors (see below), whose sum is σ = 477685278720. Its totient is φ = 84679862400.

The previous prime is 212002112107. The next prime is 212002112137. The reversal of 212002112120 is 21211200212.

It is a super-3 number, since 3×2120021121203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212002112095 and 212002112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3752312 + ... + 3808391.

It is an arithmetic number, because the mean of its divisors is an integer number (14927664960).

Almost surely, 2212002112120 is an apocalyptic number.

212002112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002112120 is an abundant number, since it is smaller than the sum of its proper divisors (265683166600).

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

212002112120 is a wasteful number, since it uses less digits than its factorization.

212002112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561415 (or 7561411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212002112120 its reverse (21211200212), we get a palindrome (233213312332).

The spelling of 212002112120 in words is "two hundred twelve billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 701 1402 2804 3505 5608 7010 14020 28040 7560703 15121406 30242812 37803515 60485624 75607030 151214060 302428120 5300052803 10600105606 21200211212 26500264015 42400422424 53000528030 106001056060 212002112120