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11020221220122 = 23317711131496273
BaseRepresentation
bin1010000001011101100001…
…0111110000010100011010
31110000112010011110002112000
42200113120113300110122
52421023403113020442
635234341510301430
72215120232545002
oct240273027602432
943015104402460
1011020221220122
113569716644984
12129b961957876
1361c2828a586a
142a154ada5002
151419dba71d4c
hexa05d85f051a

11020221220122 has 128 divisors (see below), whose sum is σ = 26527860702720. Its totient is φ = 3378462474240.

The previous prime is 11020221220121. The next prime is 11020221220159. The reversal of 11020221220122 is 22102212202011.

It is a happy number.

11020221220122 is a `hidden beast` number, since 1 + 102 + 0 + 221 + 220 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11020221220095 and 11020221220104.

It is not an unprimeable number, because it can be changed into a prime (11020221220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6616978 + ... + 8113250.

It is an arithmetic number, because the mean of its divisors is an integer number (207248911740).

Almost surely, 211020221220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020221220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263930351360).

11020221220122 is an abundant number, since it is smaller than the sum of its proper divisors (15507639482598).

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

11020221220122 is a wasteful number, since it uses less digits than its factorization.

11020221220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496485 (or 1496479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11020221220122 its reverse (22102212202011), we get a palindrome (33122433422133).

The spelling of 11020221220122 in words is "eleven trillion, twenty billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 102 113 142 153 213 226 306 339 426 459 639 678 918 1017 1207 1278 1917 1921 2034 2414 3051 3621 3834 3842 5763 6102 7242 8023 10863 11526 16046 17289 21726 24069 32589 34578 48138 51867 65178 72207 103734 136391 144414 216621 272782 409173 433242 818346 1227519 1496273 2455038 2992546 3682557 4488819 7365114 8977638 13466457 25436641 26932914 40399371 50873282 76309923 80798742 106235383 152619846 169078849 212470766 228929769 318706149 338157698 457859538 507236547 637412298 686789307 956118447 1014473094 1373578614 1521709641 1806001511 1912236894 2868355341 2874340433 3043419282 3612003022 4565128923 5418004533 5736710682 5748680866 8623021299 9130257846 10836009066 12004598279 16254013599 17246042598 24009196558 25869063897 32508027198 36013794837 48762040797 51738127794 72027589674 77607191691 97524081594 108041384511 155214383382 204078170743 216082769022 324124153533 408156341486 612234512229 648248307066 1224469024458 1836703536687 3673407073374 5510110610061 11020221220122