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212112003220 = 225131747989141
BaseRepresentation
bin1100010110001011011…
…1000101000010010100
3202021111110011012101021
43011202313011002110
511433401133100340
6241235400210524
721216222164515
oct3054267050224
9667443135337
10212112003220
1181a57772517
1235137a69a44
131700473aaa0
14a3a2936a0c
1557b696ae4a
hex3162dc5094

212112003220 has 48 divisors (see below), whose sum is σ = 507917078928. Its totient is φ = 73711319040.

The previous prime is 212112003199. The next prime is 212112003221. The reversal of 212112003220 is 22300211212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 425514384 + 211686488836 = 20628^2 + 460094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212112003194 and 212112003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112003221) 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, 23990151 + ... + 23998990.

It is an arithmetic number, because the mean of its divisors is an integer number (10581605811).

Almost surely, 2212112003220 is an apocalyptic number.

212112003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112003220 is an abundant number, since it is smaller than the sum of its proper divisors (295805075708).

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

212112003220 is a wasteful number, since it uses less digits than its factorization.

212112003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47989180 (or 47989178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212112003220 its reverse (22300211212), we get a palindrome (234412214432).

The spelling of 212112003220 in words is "two hundred twelve billion, one hundred twelve million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 47989141 95978282 191956564 239945705 479891410 623858833 815815397 959782820 1247717666 1631630794 2495435332 3119294165 3263261588 4079076985 6238588330 8158153970 10605600161 12477176660 16316307940 21211200322 42422400644 53028000805 106056001610 212112003220