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212001111010221 = 313375315683176753
BaseRepresentation
bin110000001101000001011010…
…111010011110101110101101
31000210122002220221021022212120
4300031001122322132232231
5210241411233404311341
62030515544344223153
762440401106631061
oct6015013272365655
91023562827238776
10212001111010221
1161606191342615
121b93b29b16aab9
13913a807bb5a60
143a4cca0da9aa1
15197997e7bd066
hexc0d05ae9ebad

212001111010221 has 64 divisors (see below), whose sum is σ = 318560165183232. Its totient is φ = 124532547489792.

The previous prime is 212001111010193. The next prime is 212001111010303. The reversal of 212001111010221 is 122010111100212.

It is a happy number.

It is not a de Polignac number, because 212001111010221 - 229 = 212000574139309 is a prime.

It is a super-2 number, since 2×2120011110102212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212001111010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001111010321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199331781 + ... + 1199508533.

It is an arithmetic number, because the mean of its divisors is an integer number (4977502580988).

Almost surely, 2212001111010221 is an apocalyptic number.

It is an amenable number.

212001111010221 is a deficient number, since it is larger than the sum of its proper divisors (106559054173011).

212001111010221 is a wasteful number, since it uses less digits than its factorization.

212001111010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192542.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212001111010221 its reverse (122010111100212), we get a palindrome (334011222110433).

The spelling of 212001111010221 in words is "two hundred twelve trillion, one billion, one hundred eleven million, ten thousand, two hundred twenty-one".

Divisors: 1 3 13 37 39 53 111 159 481 689 1443 1961 2067 5883 15683 25493 47049 76479 176753 203879 530259 580271 611637 831199 1740813 2297789 2493597 6539861 6893367 7543523 9367909 10805587 19619583 22630569 28103727 30754363 32416761 85018193 92263089 121782817 255054579 346612633 365348451 399806719 1039837899 1199420157 2772017299 4505964229 8316051897 13517892687 36036224887 102564640063 108108674661 146916916847 307693920189 440750750541 1333340320819 1909919919011 4000020962457 5435925923339 5729759757033 16307777770017 70667037003407 212001111010221