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11033221122 = 23272111318681
BaseRepresentation
bin10100100011010000…
…11001100000000010
31001110220221201001100
422101220121200002
5140044001033442
65022452115230
7540261555300
oct122150314002
931426851040
1011033221122
114751a69370
12217b005b16
13106aa89811
1476947b270
1544895284c
hex291a19802

11033221122 has 144 divisors (see below), whose sum is σ = 30571336224. Its totient is φ = 2843568000.

The previous prime is 11033221061. The next prime is 11033221223. The reversal of 11033221122 is 22112233011.

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 = 11033221095 and 11033221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1266622 + ... + 1275302.

It is an arithmetic number, because the mean of its divisors is an integer number (212300946).

Almost surely, 211033221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285668112).

11033221122 is an abundant number, since it is smaller than the sum of its proper divisors (19538115102).

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

11033221122 is a wasteful number, since it uses less digits than its factorization.

11033221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11033221122 its reverse (22112233011), we get a palindrome (33145454133).

The spelling of 11033221122 in words is "eleven billion, thirty-three million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 131 147 154 198 231 262 294 393 441 462 539 693 786 882 917 1078 1179 1386 1441 1617 1834 2358 2751 2882 3234 4323 4851 5502 6419 8253 8646 8681 9702 10087 12838 12969 16506 17362 19257 20174 25938 26043 30261 38514 52086 57771 60522 60767 70609 78129 90783 95491 115542 121534 141218 156258 181566 182301 190982 211827 286473 364602 423654 425369 546903 572946 635481 668437 850738 859419 1093806 1137211 1270962 1276107 1336874 1718838 2005311 2274422 2552214 3411633 3828321 4010622 4679059 6015933 6823266 7656642 7960477 9358118 10234899 12031866 12509321 14037177 15920954 20469798 23881431 25018642 28074354 37527963 42111531 47762862 55723339 71644293 75055926 84223062 87565247 111446678 112583889 143288586 167170017 175130494 225167778 262695741 334340034 501510051 525391482 612956729 788087223 1003020102 1225913458 1576174446 1838870187 3677740374 5516610561 11033221122