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11022120111112 = 231117411097163811
BaseRepresentation
bin1010000001100100100110…
…0011011100110000001000
31110000201000111112202020221
42200121021203130300020
52421041300222023422
635235254142155424
72215215261055225
oct240311143346010
943021014482227
1011022120111112
11356a500502880
1212a01b1882b74
1361c4c610b6b6
142a168b26094c
15141a9d6113c7
hexa06498dcc08

11022120111112 has 128 divisors (see below), whose sum is σ = 24476107582080. Its totient is φ = 4596115456000.

The previous prime is 11022120111089. The next prime is 11022120111113. The reversal of 11022120111112 is 21111102122011.

It is not an unprimeable number, because it can be changed into a prime (11022120111113) 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, 67203687 + ... + 67367497.

It is an arithmetic number, because the mean of its divisors is an integer number (191219590485).

Almost surely, 211022120111112 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 11022120111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238053791040).

11022120111112 is an abundant number, since it is smaller than the sum of its proper divisors (13453987470968).

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

11022120111112 is a wasteful number, since it uses less digits than its factorization.

11022120111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164983 (or 164979 counting only the distinct ones).

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

Adding to 11022120111112 its reverse (21111102122011), we get a palindrome (32133222233123).

The spelling of 11022120111112 in words is "eleven trillion, twenty-two billion, one hundred twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 82 88 136 164 187 328 374 451 697 748 902 1097 1394 1496 1804 2194 2788 3608 4388 5576 7667 8776 12067 15334 18649 24134 30668 37298 44977 48268 61336 74596 89954 96536 149192 163811 179908 205139 327622 359816 410278 494747 655244 764609 820556 989494 1310488 1529218 1641112 1801921 1978988 2784787 3058436 3603842 3957976 5569574 6116872 6716251 7207684 8410699 11139148 13432502 14415368 16821398 22278296 26865004 30632657 33642796 53730008 61265314 67285592 73878761 114176267 122530628 147757522 179700667 228352534 245061256 295515044 359401334 456705068 591030088 718802668 913410136 1255938937 1437605336 1976707337 2511877874 3054911339 3953414674 5023755748 6109822678 7367727347 7906829348 10047511496 12219645356 14735454694 15813658696 24439290712 29470909388 33604024729 58941818776 67208049458 81045000817 125251364899 134416098916 162090001634 250502729798 268832197832 324180003268 501005459596 648360006536 1002010919192 1377765013889 2755530027778 5511060055556 11022120111112