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2200031322112 = 2131323898189
BaseRepresentation
bin100000000000111100000…
…101011110000000000000
321210022122222001212022201
4200000330011132000000
5242021131004301422
64402402550242544
7314642553455131
oct40007405360000
97708588055281
102200031322112
11779034365828
122b646a056454
1312c6011cc230
14786a6ba5c88
153c36408c727
hex2003c15e000

2200031322112 has 112 divisors (see below), whose sum is σ = 4944255714720. Its totient is φ = 971250204672.

The previous prime is 2200031322109. The next prime is 2200031322133. The reversal of 2200031322112 is 2112231300022.

It is a self number, because there is not a number n which added to its sum of digits gives 2200031322112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000314 + ... + 2898502.

It is an arithmetic number, because the mean of its divisors is an integer number (44145140310).

Almost surely, 22200031322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200031322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472127857360).

2200031322112 is an abundant number, since it is smaller than the sum of its proper divisors (2744224392608).

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

2200031322112 is an equidigital number, since it uses as much as digits as its factorization.

2200031322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898251 (or 898227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2200031322112 its reverse (2112231300022), we get a palindrome (4312262622134).

The spelling of 2200031322112 in words is "two trillion, two hundred billion, thirty-one million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 2048 2392 2944 3328 4096 4784 5888 6656 8192 9568 11776 13312 19136 23552 26624 38272 47104 53248 76544 94208 106496 153088 188416 306176 612352 898189 1224704 1796378 2449408 3592756 7185512 11676457 14371024 20658347 23352914 28742048 41316694 46705828 57484096 82633388 93411656 114968192 165266776 186823312 229936384 268558511 330533552 373646624 459872768 537117022 661067104 747293248 919745536 1074234044 1322134208 1494586496 1839491072 2148468088 2644268416 2989172992 3678982144 4296936176 5288536832 5978345984 7357964288 8593872352 10577073664 11956691968 17187744704 21154147328 23913383936 34375489408 42308294656 47826767872 68750978816 84616589312 95653535744 137501957632 169233178624 275003915264 550007830528 1100015661056 2200031322112