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11022121211112 = 23321135293943559
BaseRepresentation
bin1010000001100100100110…
…0111101001010011101000
31110000201000120121122011200
42200121021213221103220
52421041301012223422
635235254221524200
72215215303316224
oct240311147512350
943021016548150
1011022121211112
11356a501094270
1212a01b2113660
1361c4c640529b
142a168b469784
15141a9d77c2ac
hexa06499e94e8

11022121211112 has 96 divisors (see below), whose sum is σ = 32574594312000. Its totient is φ = 3339089429760.

The previous prime is 11022121211107. The next prime is 11022121211141. The reversal of 11022121211112 is 21111212122011.

It is a happy number.

11022121211112 is a `hidden beast` number, since 110 + 221 + 212 + 11 + 112 = 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823189 + ... + 4766747.

It is an arithmetic number, because the mean of its divisors is an integer number (339318690750).

Almost surely, 211022121211112 is an apocalyptic number.

11022121211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11022121211112 is an abundant number, since it is smaller than the sum of its proper divisors (21552473100888).

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

11022121211112 is a wasteful number, since it uses less digits than its factorization.

11022121211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947111 (or 3947104 counting only the distinct ones).

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

Adding to 11022121211112 its reverse (21111212122011), we get a palindrome (32133333333123).

The spelling of 11022121211112 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 3529 7058 10587 14116 21174 28232 31761 38819 42348 63522 77638 84696 116457 127044 155276 232914 254088 310552 349371 465828 698742 931656 1397484 2794968 3943559 7887118 11830677 15774236 23661354 31548472 35492031 43379149 47322708 70984062 86758298 94645416 130137447 141968124 173516596 260274894 283936248 347033192 390412341 520549788 780824682 1041099576 1561649364 3123298728 13916819711 27833639422 41750459133 55667278844 83500918266 111334557688 125251377399 153085016821 167001836532 250502754798 306170033642 334003673064 459255050463 501005509596 612340067284 918510100926 1002011019192 1224680134568 1377765151389 1837020201852 2755530302778 3674040403704 5511060605556 11022121211112