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11001222201112 = 231113231559268189
BaseRepresentation
bin1010000000010110101111…
…1100001111111100011000
31102221201002002102221001021
42200011223330033330120
52420221000340413422
635221520335332224
72213545353546013
oct240055374177430
942851062387037
1011001222201112
113561657149780
12129813b081074
1361a5456bc790
142a0667a0437a
15141278b2cdc7
hexa016bf0ff18

11001222201112 has 128 divisors (see below), whose sum is σ = 25303404672000. Its totient is φ = 4412357706240.

The previous prime is 11001222201103. The next prime is 11001222201113. The reversal of 11001222201112 is 21110222210011.

11001222201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001222201113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40886314 + ... + 41154502.

It is an arithmetic number, because the mean of its divisors is an integer number (197682849000).

Almost surely, 211001222201112 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 11001222201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651702336000).

11001222201112 is an abundant number, since it is smaller than the sum of its proper divisors (14302182470888).

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

11001222201112 is a wasteful number, since it uses less digits than its factorization.

11001222201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269801 (or 269797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11001222201112 its reverse (21110222210011), we get a palindrome (32111444411123).

The spelling of 11001222201112 in words is "eleven trillion, one billion, two hundred twenty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 1559 2024 2392 3118 3289 6236 6578 12472 13156 17149 20267 26312 34298 35857 40534 68596 71714 81068 137192 143428 162136 222937 268189 286856 394427 445874 466141 536378 788854 891748 932282 1072756 1577708 1783496 1864564 2145512 2950079 3155416 3486457 3729128 5127551 5900158 6168347 6972914 10255102 11800316 12336694 13945828 20510204 23600632 24673388 27891656 38351027 41020408 49346776 67851817 76702054 80188511 135703634 153404108 160377022 271407268 306808216 320754044 418106651 542814536 641508088 836213302 882073621 1672426604 1764147242 3344853208 3528294484 4599173161 5435386463 7056588968 9198346322 9616452973 10870772926 18396692644 19232905946 21741545852 36793385288 38465811892 43483091704 59789251093 76931623784 105780982703 119578502186 125013888649 211561965406 239157004372 250027777298 423123930812 478314008744 500055554596 846247861624 1000111109192 1375152775139 2750305550278 5500611100556 11001222201112