Search a number
-
+
212101000030 = 25232103389269
BaseRepresentation
bin1100010110001000110…
…1000110101101011110
3202021110200110011211201
43011202031012231132
511433340324000110
6241234324310114
721216026516323
oct3054215065536
9667420404751
10212101000030
1181a51537677
123513424233a
131700238771a
14a3a12b0b4a
1557b59e5b3a
hex3162346b5e

212101000030 has 48 divisors (see below), whose sum is σ = 402978532320. Its totient is φ = 80363600064.

The previous prime is 212101000019. The next prime is 212101000031. The reversal of 212101000030 is 30000101212.

212101000030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2121010000304 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212100999980 and 212101000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350236 + ... + 739504.

It is an arithmetic number, because the mean of its divisors is an integer number (8395386090).

Almost surely, 2212101000030 is an apocalyptic number.

212101000030 is a deficient number, since it is larger than the sum of its proper divisors (190877532290).

212101000030 is a wasteful number, since it uses less digits than its factorization.

212101000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389425 (or 389402 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 212101000030 its reverse (30000101212), we get a palindrome (242101101242).

The spelling of 212101000030 in words is "two hundred twelve billion, one hundred one million, thirty", and thus it is an aban number.

Divisors: 1 2 5 10 23 46 103 115 206 230 515 529 1030 1058 2369 2645 4738 5290 11845 23690 54487 108974 272435 389269 544870 778538 1946345 3892690 8953187 17906374 40094707 44765935 80189414 89531870 200473535 205923301 400947070 411846602 922178261 1029616505 1844356522 2059233010 4610891305 9221782610 21210100003 42420200006 106050500015 212101000030