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2200113223002 = 234411737192663
BaseRepresentation
bin100000000001000000111…
…101111001010101011010
321210022212200011212020000
4200001000331321111122
5242021312441114002
64402415033513430
7314644566556212
oct40010075712532
97708780155200
102200113223002
11779076615112
122b6491572876
1312c6151768b6
14786b3a05242
153c36b36961c
hex20040f7955a

2200113223002 has 160 divisors (see below), whose sum is σ = 5088290296320. Its totient is φ = 710092120320.

The previous prime is 2200113222949. The next prime is 2200113223031. The reversal of 2200113223002 is 2003223110022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 826177123 + ... + 826179785.

It is an arithmetic number, because the mean of its divisors is an integer number (31801814352).

Almost surely, 22200113223002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200113223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544145148160).

2200113223002 is an abundant number, since it is smaller than the sum of its proper divisors (2888177073318).

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

2200113223002 is a wasteful number, since it uses less digits than its factorization.

2200113223002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2200113223002 its reverse (2003223110022), we get a palindrome (4203336333024).

The spelling of 2200113223002 in words is "two trillion, two hundred billion, one hundred thirteen million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 173 246 346 369 519 719 738 1038 1107 1438 1557 2157 2214 2663 3114 3321 4314 4671 5326 6471 6642 7093 7989 9342 12942 14013 14186 15978 19413 21279 23967 28026 29479 38826 42558 47934 58239 58958 63837 71901 88437 109183 116478 124387 127674 143802 176874 191511 215703 218366 248774 265311 327549 373161 383022 431406 460699 530622 574533 655098 746322 795933 921398 982647 1119483 1149066 1382097 1591866 1914697 1965294 2238966 2387799 2764194 2947941 3358449 3829394 4146291 4775598 5099867 5744091 5895882 6716898 8292582 8843823 10075347 10199734 11488182 12438873 15299601 17232273 17687646 18888659 20150694 24877746 30599202 34464546 37316619 37777318 45898803 51696819 56665977 74633238 78502577 91797606 103393638 113331954 137696409 155090457 157005154 169997931 235507731 275392818 310180914 331242581 339995862 413089227 471015462 509993793 662485162 706523193 826178454 993727743 1019987586 1413046386 1529981379 1987455486 2119569579 2981183229 3059962758 4239139158 5962366458 6358708737 8943549687 12717417474 13580945821 17887099374 26830649061 27161891642 40742837463 53661298122 81485674926 122228512389 244457024778 366685537167 733371074334 1100056611501 2200113223002