Search a number
-
+
212003123244 = 223114142193047
BaseRepresentation
bin1100010101110001011…
…1101111000000101100
3202021012212021112010120
43011130113233000230
511433140244420434
6241220510404540
721213430546263
oct3053427570054
9667185245116
10212003123244
1181a01266370
1235107500750
1316cb8008473
14a3922b35da
1557ac110349
hex315c5ef02c

212003123244 has 96 divisors (see below), whose sum is σ = 554125404672. Its totient is φ = 62526912000.

The previous prime is 212003123177. The next prime is 212003123249. The reversal of 212003123244 is 442321300212.

It is a happy number.

212003123244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212003123249) 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 31 ways as a sum of consecutive naturals, for example, 2231929 + ... + 2324975.

It is an arithmetic number, because the mean of its divisors is an integer number (5772139632).

Almost surely, 2212003123244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212003123244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277062702336).

212003123244 is an abundant number, since it is smaller than the sum of its proper divisors (342122281428).

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

212003123244 is a wasteful number, since it uses less digits than its factorization.

212003123244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93527 (or 93525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212003123244 its reverse (442321300212), we get a palindrome (654324423456).

The spelling of 212003123244 in words is "two hundred twelve billion, three million, one hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 421 451 492 842 902 1263 1353 1684 1804 2526 2706 4631 5052 5412 9262 13893 17261 18524 27786 34522 51783 55572 69044 93047 103566 186094 189871 207132 279141 372188 379742 558282 569613 759484 1023517 1116564 1139226 2047034 2278452 3070551 3814927 4094068 6141102 7629854 11444781 12282204 15259708 22889562 39172787 41964197 45779124 78345574 83928394 117518361 125892591 156691148 167856788 235036722 251785182 430900657 470073444 503570364 861801314 1292701971 1606084267 1723602628 2585403942 3212168534 4818252801 5170807884 6424337068 9636505602 17666926937 19273011204 35333853874 53000780811 70667707748 106001561622 212003123244