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212101301334 = 231321933133323
BaseRepresentation
bin1100010110001000111…
…0010000010001010110
3202021110201000111011010
43011202032100101112
511433340413120314
6241234334553050
721216032212626
oct3054216202126
9667421014133
10212101301334
1181a51722a8a
1235134368786
1317002461900
14a3a134c886
1557b5a55059
hex3162390456

212101301334 has 96 divisors (see below), whose sum is σ = 483811125120. Its totient is φ = 61789837824.

The previous prime is 212101301327. The next prime is 212101301351. The reversal of 212101301334 is 433103101212.

It is a self number, because there is not a number n which added to its sum of digits gives 212101301334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63826597 + ... + 63829919.

It is an arithmetic number, because the mean of its divisors is an integer number (5039699220).

Almost surely, 2212101301334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101301334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241905562560).

212101301334 is an abundant number, since it is smaller than the sum of its proper divisors (271709823786).

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

212101301334 is a wasteful number, since it uses less digits than its factorization.

212101301334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212101301334 its reverse (433103101212), we get a palindrome (645204402546).

The spelling of 212101301334 in words is "two hundred twelve billion, one hundred one million, three hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 3211 3313 3323 6422 6626 6646 9633 9939 9969 19266 19878 19938 43069 43199 62947 63137 86138 86398 125894 126274 129207 129597 188841 189411 258414 259194 377682 378822 559897 561587 818311 820781 1119794 1123174 1636622 1641562 1679691 1684761 2454933 2462343 3359382 3369522 4909866 4924686 10638043 10670153 11009099 21276086 21340306 22018198 31914129 32010459 33027297 63828258 64020918 66054594 143118287 209172881 286236574 418345762 429354861 627518643 858709722 1255037286 1860537731 2719247453 3721075462 5438494906 5581613193 8157742359 11163226386 16315484718 35350216889 70700433778 106050650667 212101301334