Search a number
-
+
212100001212 = 2231121011446281
BaseRepresentation
bin1100010110001000100…
…1010010110110111100
3202021110121120102201110
43011202021102312330
511433340100014322
6241234251042020
721216015156321
oct3054211226674
9667417512643
10212100001212
1181a50a15200
1235133a40310
13170020c7bc8
14a3a10d0b48
1557b5899c0c
hex3162252dbc

212100001212 has 72 divisors (see below), whose sum is σ = 549367325136. Its totient is φ = 63636320000.

The previous prime is 212100001207. The next prime is 212100001303.

212100001212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576489 + ... + 869792.

It is an arithmetic number, because the mean of its divisors is an integer number (7630101738).

Almost surely, 2212100001212 is an apocalyptic number.

212100001212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212100001212 is an abundant number, since it is smaller than the sum of its proper divisors (337267323924).

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

212100001212 is a wasteful number, since it uses less digits than its factorization.

212100001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446411 (or 1446398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 21210000 and 1212, that added together give a palindrome (21211212).

The spelling of 212100001212 in words is "two hundred twelve billion, one hundred million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 3333 4444 6666 12221 13332 24442 36663 48884 73326 146652 1446281 2892562 4338843 5785124 8677686 15909091 17355372 31818182 47727273 63636364 95454546 146074381 175000001 190909092 292148762 350000002 438223143 525000003 584297524 700000004 876446286 1050000006 1606818191 1752892572 2100000012 3213636382 4820454573 6427272764 9640909146 17675000101 19281818292 35350000202 53025000303 70700000404 106050000606 212100001212