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22021121021112 = 2333295776092729
BaseRepresentation
bin1010000000111001100010…
…00110001001010010111000
32212222012100210020101202000
411000130301012021102320
510341243223440133422
6114500210251541000
74431654623160663
oct500346106112270
985865323211660
1022021121021112
1170201177aa674
122577a10a5a760
13c39776553825
14561b83c446da
15282c47218cac
hex1407311894b8

22021121021112 has 128 divisors (see below), whose sum is σ = 63388762920000. Its totient is φ = 7074973237248.

The previous prime is 22021121021057. The next prime is 22021121021161. The reversal of 22021121021112 is 21112012112022.

22021121021112 is a `hidden beast` number, since 2 + 20 + 211 + 210 + 211 + 12 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 567964 + ... + 6660692.

Almost surely, 222021121021112 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 22021121021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31694381460000).

22021121021112 is an abundant number, since it is smaller than the sum of its proper divisors (41367641898888).

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

22021121021112 is a wasteful number, since it uses less digits than its factorization.

22021121021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093350 (or 6093340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22021121021112 its reverse (21112012112022), we get a palindrome (43133133133134).

The spelling of 22021121021112 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 577 696 783 1044 1154 1566 1731 2088 2308 3132 3462 4616 5193 6264 6924 10386 13848 15579 16733 20772 31158 33466 41544 50199 62316 66932 100398 124632 133864 150597 200796 301194 401592 451791 602388 903582 1204776 1807164 3614328 6092729 12185458 18278187 24370916 36556374 48741832 54834561 73112748 109669122 146225496 164503683 176689141 219338244 329007366 353378282 438676488 530067423 658014732 706756564 1060134846 1316029464 1413513128 1590202269 2120269692 3180404538 3515504633 4240539384 4770606807 6360809076 7031009266 9541213614 10546513899 12721618152 14062018532 19082427228 21093027798 28124037064 31639541697 38164854456 42186055596 63279083394 84372111192 94918625091 101949634357 126558166788 189837250182 203899268714 253116333576 305848903071 379674500364 407798537428 611697806142 759349000728 815597074856 917546709213 1223395612284 1835093418426 2446791224568 2752640127639 3670186836852 5505280255278 7340373673704 11010560510556 22021121021112