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20002211100222 = 231337103494313613
BaseRepresentation
bin1001000110001001000001…
…01011111111011000111110
32121211012012111001000221120
410203010200223333120332
510110204012020201342
6110312520001411410
74133053303042131
oct443044053773076
977735174030846
1020002211100222
11641198778939a
1222b0690039b66
13b2127b400970
144d217db88218
1524a484046aec
hex123120aff63e

20002211100222 has 128 divisors (see below), whose sum is σ = 44687949336576. Its totient is φ = 5928414976512.

The previous prime is 20002211100199. The next prime is 20002211100239. The reversal of 20002211100222 is 22200111220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469339488 + ... + 1469353100.

It is an arithmetic number, because the mean of its divisors is an integer number (349124604192).

Almost surely, 220002211100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002211100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22343974668288).

20002211100222 is an abundant number, since it is smaller than the sum of its proper divisors (24685738236354).

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

20002211100222 is a wasteful number, since it uses less digits than its factorization.

20002211100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18714.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20002211100222 its reverse (22200111220002), we get a palindrome (42202322320224).

The spelling of 20002211100222 in words is "twenty trillion, two billion, two hundred eleven million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 103 111 206 222 309 481 618 962 1339 1443 2678 2886 3811 4017 4943 7622 8034 9886 11433 13613 14829 22866 27226 29658 40839 49543 64259 81678 99086 128518 148629 176969 182891 192777 297258 353938 365782 385554 503681 509129 530907 548673 1007362 1018258 1061814 1097346 1402139 1511043 1527387 2377583 2804278 3022086 3054774 4206417 4755166 6547853 6618677 7132749 8412834 13095706 13237354 14265498 18227807 18837773 19643559 19856031 36455614 37675546 39287118 39712062 51879143 54683421 56513319 67289059 103758286 109366842 113026638 134578118 155637429 201867177 244891049 311274858 403734354 489782098 674428859 734673147 874757767 1348857718 1469346294 1749515534 2023286577 2489695183 2624273301 4046573154 4979390366 5248546602 6930773077 7469085549 13861546154 14938171098 20792319231 32366037379 41584638462 64732074758 90100050001 97098112137 180200100002 194196224274 256438603849 270300150003 512877207698 540600300006 769315811547 1538631623094 3333701850037 6667403700074 10001105550111 20002211100222