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212053350212 = 221131417575009
BaseRepresentation
bin1100010101111101011…
…1010101011101000100
3202021100100210022120122
43011133113111131010
511433241124201322
6241225503121112
721214610510504
oct3053727253504
9667310708518
10212053350212
1181a27651660
12351202a3198
1316cc5542c72
14a398c29a04
1557b1732442
hex315f5d5744

212053350212 has 96 divisors (see below), whose sum is σ = 428731591680. Its totient is φ = 90865152000.

The previous prime is 212053350209. The next prime is 212053350227.

It is a happy number.

212053350212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2120533502122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42331964 + ... + 42336972.

It is an arithmetic number, because the mean of its divisors is an integer number (4465954080).

Almost surely, 2212053350212 is an apocalyptic number.

212053350212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212053350212 is an abundant number, since it is smaller than the sum of its proper divisors (216678241468).

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

212053350212 is a wasteful number, since it uses less digits than its factorization.

212053350212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

It can be divided in two parts, 212053 and 350212, that added together give a palindrome (562265).

The spelling of 212053350212 in words is "two hundred twelve billion, fifty-three million, three hundred fifty thousand, two hundred twelve".

Divisors: 1 2 4 11 22 31 41 44 62 82 124 164 341 451 682 757 902 1271 1364 1514 1804 2542 3028 5009 5084 8327 10018 13981 16654 20036 23467 27962 31037 33308 46934 55099 55924 62074 93868 110198 124148 155279 205369 220396 258137 310558 341407 410738 516274 621116 682814 821476 962147 1032548 1365628 1708069 1924294 2259059 3416138 3791813 3848588 4518118 6366439 6832276 7583626 9036236 10583617 12732878 15167252 21167234 25465756 41709943 42334468 70030829 83419886 117546203 140061658 155464333 166839772 235092406 280123316 310928666 470184812 621857332 1293008233 1710107663 2586016466 3420215326 4819394323 5172032932 6840430652 9638788646 19277577292 53013337553 106026675106 212053350212