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10212010122222 = 232317127694721
BaseRepresentation
bin1001010010011010101100…
…1111000101101111101110
31100011020222112200100202100
42110212223033011233232
52314303144042402342
633415155505435530
72102536062554016
oct224465317055756
940136875610670
1010212010122222
11328798653a867
12118b1a563bba6
13590cb074459c
1427439a304c46
1512a987986e4c
hex949ab3c5bee

10212010122222 has 144 divisors (see below), whose sum is σ = 23201020402560. Its totient is φ = 3242889216000.

The previous prime is 10212010122203. The next prime is 10212010122227. The reversal of 10212010122222 is 22222101021201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212010122195 and 10212010122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212010122227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2163100822 + ... + 2163105542.

It is an arithmetic number, because the mean of its divisors is an integer number (161118197240).

Almost surely, 210212010122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212010122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600510201280).

10212010122222 is an abundant number, since it is smaller than the sum of its proper divisors (12989010280338).

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

10212010122222 is a wasteful number, since it uses less digits than its factorization.

10212010122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212010122222 its reverse (22222101021201), we get a palindrome (32434111143423).

The spelling of 10212010122222 in words is "ten trillion, two hundred twelve billion, ten million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 639 769 1278 1538 2201 2307 4402 4614 4721 5041 6603 6921 9442 10082 13206 13842 14163 15123 19809 23839 28326 30246 39618 42489 45369 47678 54599 71517 84978 90738 109198 143034 146351 156271 163797 214551 292702 312542 327594 335191 429102 439053 468813 491391 670382 878106 937626 982782 1005573 1317159 1406439 1692569 2011146 2634318 2812878 3016719 3385138 3630449 3876529 5077707 6033438 7260898 7753058 10155414 10390921 10891347 11629587 15233121 20781842 21782694 23259174 23798561 30466242 31172763 32674041 34888761 47597122 62345526 65348082 69777522 71395683 93518289 112543919 120172399 142791366 187036578 214187049 225087838 240344798 257761879 337631757 360517197 428374098 515523758 675263514 721034394 737755391 773285637 1012895271 1081551591 1475510782 1546571274 2025790542 2163103182 2213266173 2319856911 4426532346 4639713822 6639798519 7990618249 13279597038 15981236498 18301093409 23971854747 36602186818 47943709494 54903280227 71915564241 109806560454 143831128482 164709840681 329419681362 567333895679 1134667791358 1702001687037 3404003374074 5106005061111 10212010122222