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212010132120 = 23353156991971
BaseRepresentation
bin1100010101110011001…
…0011110001010011000
3202021020100110121111120
43011130302132022120
511433144043211440
6241221320525240
721213544250313
oct3053462361230
9667210417446
10212010132120
1181a05213226
1235109920820
1316cb95c0727
14a3931b997a
1557aca46dd0
hex315cc9e298

212010132120 has 64 divisors (see below), whose sum is σ = 656547517440. Its totient is φ = 54712291200.

The previous prime is 212010132079. The next prime is 212010132121. The reversal of 212010132120 is 21231010212.

It is a super-2 number, since 2×2120101321202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212010132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010132121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28492266 + ... + 28499705.

It is an arithmetic number, because the mean of its divisors is an integer number (10258554960).

Almost surely, 2212010132120 is an apocalyptic number.

212010132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010132120 is an abundant number, since it is smaller than the sum of its proper divisors (444537385320).

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

212010132120 is a wasteful number, since it uses less digits than its factorization.

212010132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56992016 (or 56992012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212010132120 its reverse (21231010212), we get a palindrome (233241142332).

The spelling of 212010132120 in words is "two hundred twelve billion, ten million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 56991971 113983942 170975913 227967884 284959855 341951826 455935768 569919710 683903652 854879565 1139839420 1367807304 1709759130 1766751101 2279678840 3419518260 3533502202 5300253303 6839036520 7067004404 8833755505 10600506606 14134008808 17667511010 21201013212 26501266515 35335022020 42402026424 53002533030 70670044040 106005066060 212010132120