Search a number
-
+
212030302013103 = 371933173650479
BaseRepresentation
bin110000001101011100100110…
…110101010100011010101111
31000210201220021022021220211110
4300031130212311110122233
5210242401024303404403
62030541213120523103
762442453354231540
oct6015344665243257
91023656238256743
10212030302013103
1161617600960092
121b944a87180493
1391404aa797a22
143a5046dbc64c7
15197a5dc394103
hexc0d726d546af

212030302013103 has 128 divisors (see below), whose sum is σ = 356865192755200. Its totient is φ = 109558812660480.

The previous prime is 212030302013059. The next prime is 212030302013107. The reversal of 212030302013103 is 301310203030212.

It is not a de Polignac number, because 212030302013103 - 222 = 212030297818799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212030302013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212030302013107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325635018 + ... + 326285496.

It is an arithmetic number, because the mean of its divisors is an integer number (2788009318400).

Almost surely, 2212030302013103 is an apocalyptic number.

212030302013103 is a deficient number, since it is larger than the sum of its proper divisors (144834890742097).

212030302013103 is an equidigital number, since it uses as much as digits as its factorization.

212030302013103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650650 (or 650612 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212030302013103 its reverse (301310203030212), we get a palindrome (513340505043315).

The spelling of 212030302013103 in words is "two hundred twelve trillion, thirty billion, three hundred two million, thirteen thousand, one hundred three".

Divisors: 1 3 7 19 21 31 57 73 93 133 217 219 361 399 511 589 651 1083 1387 1533 1767 2263 2527 4123 4161 6789 6859 7581 9709 11191 12369 15841 20577 26353 29127 33573 42997 47523 48013 78337 79059 128991 144039 184471 212629 235011 300979 500707 553413 637887 650479 816943 902937 1488403 1502121 1951437 2450829 3504949 4465209 4553353 5718601 10514847 12359101 13660059 15521917 17155803 20164849 37077303 46565751 47484967 60494547 86513707 108653419 141153943 142454901 234822919 259541121 325960257 332394769 383132131 423461829 704468757 902214373 997184307 1149396393 1472033977 1643760433 2681924917 2706643119 4416101931 4461635461 4931281299 6315500611 7279510489 8045774751 10304237839 13384906383 17142073087 18946501833 21838531467 27968645563 30912713517 31231448227 50956573423 51426219261 83905936689 93694344681 119994511609 138310699291 152869720269 195780518941 325699388653 359983534827 414932097873 531404265697 587341556823 968174895037 977098165959 1594212797091 2279895720571 2904524685111 3719829859879 6839687161713 10096681048243 11159489579637 30290043144729 70676767337701 212030302013103