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1001210122220 = 225711267882139
BaseRepresentation
bin11101001000111001100…
…01100000111111101100
310112201022001111000002112
432210130301200333230
5112400434242402340
62043541035343152
7132222630423110
oct16443461407754
93481261430075
101001210122220
1135667a015700
1214205b2b1ab8
137354bbc53a9
143665d04d740
151b09cb01065
hexe91cc60fec

1001210122220 has 144 divisors (see below), whose sum is σ = 2680632917760. Its totient is φ = 307407450240.

The previous prime is 1001210122177. The next prime is 1001210122223. The reversal of 1001210122220 is 222210121001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1001210122195 and 1001210122204.

It is not an unprimeable number, because it can be changed into a prime (1001210122223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693911 + ... + 1576049.

Almost surely, 21001210122220 is an apocalyptic number.

1001210122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001210122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340316458880).

1001210122220 is an abundant number, since it is smaller than the sum of its proper divisors (1679422795540).

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

1001210122220 is a wasteful number, since it uses less digits than its factorization.

1001210122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882244 (or 882231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001210122220 its reverse (222210121001), we get a palindrome (1223420243221).

The spelling of 1001210122220 in words is "one trillion, one billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 121 134 140 154 220 242 268 308 335 385 469 484 605 670 737 770 847 938 1210 1340 1474 1540 1694 1876 2345 2420 2948 3388 3685 4235 4690 5159 7370 8107 8470 9380 10318 14740 16214 16940 20636 25795 32428 40535 51590 56749 81070 103180 113498 162140 226996 283745 567490 882139 1134980 1764278 3528556 4410695 6174973 8821390 9703529 12349946 17642780 19407058 24699892 30874865 38814116 48517645 59103313 61749730 67924703 97035290 106738819 118206626 123499460 135849406 194070580 213477638 236413252 271698812 295516565 339623515 413723191 426955276 533694095 591033130 650136443 679247030 747171733 827446382 1067388190 1182066260 1300272886 1358494060 1494343466 1654892764 2068615955 2134776380 2600545772 2988686932 3250682215 3735858665 4137231910 4550955101 6501364430 7151500873 7471717330 8274463820 9101910202 13002728860 14303001746 14943434660 18203820404 22754775505 28606003492 35757504365 45509551010 50060506111 71515008730 91019102020 100121012222 143030017460 200242024444 250302530555 500605061110 1001210122220