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11021221121112 = 2333619205340151
BaseRepresentation
bin1010000001100001001111…
…1110000100110001011000
31110000121200211221022211000
42200120103332010301120
52421032430101333422
635235025025505000
72215154063554146
oct240302376046130
943017624838730
1011021221121112
11356a08a000334
12129bba07a2160
1361c3b1aa9957
142a1603ac8596
15141a49733cac
hexa0613f84c58

11021221121112 has 128 divisors (see below), whose sum is σ = 30679661376000. Its totient is φ = 3665927548800.

The previous prime is 11021221121047. The next prime is 11021221121123. The reversal of 11021221121112 is 21112112212011.

It is a happy number.

11021221121112 is a `hidden beast` number, since 110 + 212 + 211 + 21 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274474237 + ... + 274514387.

It is an arithmetic number, because the mean of its divisors is an integer number (239684854500).

Almost surely, 211021221121112 is an apocalyptic number.

11021221121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11021221121112 is an abundant number, since it is smaller than the sum of its proper divisors (19658440254888).

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

11021221121112 is a wasteful number, since it uses less digits than its factorization.

11021221121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42838 (or 42828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11021221121112 its reverse (21112112212011), we get a palindrome (32133333333123).

The spelling of 11021221121112 in words is "eleven trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 619 1238 1857 2053 2476 3714 4106 4952 5571 6159 7428 8212 11142 12318 14856 16424 16713 18477 22284 24636 33426 36954 40151 44568 49272 55431 66852 73908 80302 110862 120453 133704 147816 160604 221724 240906 321208 361359 443448 481812 722718 963624 1084077 1270807 1445436 2168154 2541614 2890872 3812421 4336308 5083228 7624842 8672616 10166456 11437263 15249684 22874526 24853469 30499368 34311789 45749052 49706938 68623578 74560407 82430003 91498104 99413876 137247156 149120814 164860006 198827752 223681221 247290009 274494312 298241628 329720012 447362442 494580018 596483256 659440024 671043663 741870027 894724884 989160036 1342087326 1483740054 1789449768 1978320072 2225610081 2684174652 2967480108 4451220162 5368349304 5934960216 8902440324 17804880648 51024171857 102048343714 153072515571 204096687428 306145031142 408193374856 459217546713 612290062284 918435093426 1224580124568 1377652640139 1836870186852 2755305280278 3673740373704 5510610560556 11021221121112