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11020220222202 = 2334361322373461
BaseRepresentation
bin1010000001011101100001…
…0011111100101011111010
31110000112010002120101122000
42200113120103330223322
52421023402334102302
635234341433041430
72215120221220422
oct240273023745372
943015102511560
1011020220222202
113569716023154
12129b961556276
1361c282616589
142a154abc5482
151419db92631c
hexa05d84fcafa

11020220222202 has 128 divisors (see below), whose sum is σ = 25118253515520. Its totient is φ = 3579489688320.

The previous prime is 11020220222131. The next prime is 11020220222237. The reversal of 11020220222202 is 20222202202011.

11020220222202 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 220 + 222 + 202 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3184112752 + ... + 3184116212.

It is an arithmetic number, because the mean of its divisors is an integer number (196236355590).

Almost surely, 211020220222202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020220222202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559126757760).

11020220222202 is an abundant number, since it is smaller than the sum of its proper divisors (14098033293318).

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

11020220222202 is a wasteful number, since it uses less digits than its factorization.

11020220222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11020220222202 its reverse (20222202202011), we get a palindrome (31242422424213).

The spelling of 11020220222202 in words is "eleven trillion, twenty billion, two hundred twenty million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 613 774 1161 1226 1839 2237 2322 3461 3678 4474 5517 6711 6922 10383 11034 13422 16551 20133 20766 26359 31149 33102 40266 52718 60399 62298 79077 93447 96191 120798 148823 158154 186894 192382 237231 288573 297646 446469 474462 577146 711693 865719 892938 1339407 1371281 1423386 1731438 2121593 2597157 2678814 2742562 4018221 4113843 4243186 5194314 6364779 7742257 8036442 8227686 12341529 12729558 15484514 19094337 23226771 24683058 37024587 38188674 46453542 57283011 58965083 69680313 74049174 91228499 114566022 117930166 139360626 176895249 182456998 209040939 273685497 332917051 353790498 418081878 530685747 547370994 665834102 821056491 998751153 1061371494 1592057241 1642112982 1997502306 2463169473 2996253459 3184114482 4746003541 4926338946 5992506918 8988760377 9492007082 14238010623 17977520754 28476021246 42714031869 85428063738 128142095607 204078152263 256284191214 408156304526 612234456789 1224468913578 1836703370367 3673406740734 5510110111101 11020220222202