Search a number
-
+
11220020022112 = 25111361183112791
BaseRepresentation
bin1010001101000101110101…
…0011101100101101100000
31110201121211111010212020021
42203101131103230231200
52432312100111201422
635510223412123224
72235422361414616
oct243213523545540
943647744125207
1011220020022112
113636424885030
121312622006514
1363507430b355
142ab0a24716b6
15146cd2501dc7
hexa345d4ecb60

11220020022112 has 96 divisors (see below), whose sum is σ = 24130305658368. Its totient is φ = 5093080320000.

The previous prime is 11220020022083. The next prime is 11220020022119. The reversal of 11220020022112 is 21122002002211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220020022119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877174437 + ... + 877187227.

It is an arithmetic number, because the mean of its divisors is an integer number (251357350608).

Almost surely, 211220020022112 is an apocalyptic number.

It is an amenable number.

11220020022112 is an abundant number, since it is smaller than the sum of its proper divisors (12910285636256).

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

11220020022112 is a wasteful number, since it uses less digits than its factorization.

11220020022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 15996 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220020022112 its reverse (21122002002211), we get a palindrome (32342022024323).

It can be divided in two parts, 1122002002211 and 2, that multiplied together give a palindrome (2244004004422).

The spelling of 11220020022112 in words is "eleven trillion, two hundred twenty billion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1361 1831 2722 3662 5444 7324 10888 12791 14648 14971 20141 21776 25582 29296 29942 40282 43552 51164 58592 59884 80564 102328 119768 140701 161128 204656 239536 281402 322256 409312 479072 562804 644512 1125608 2251216 2491991 4502432 4983982 9967964 17408551 19935928 23420321 27411901 34817102 39871856 46840642 54823802 69634204 79743712 93681284 109647604 139268408 187362568 191494061 219295208 257623531 278536816 374725136 382988122 438590416 515247062 557073632 749450272 765976244 877180832 1030494124 1531952488 2060988248 3063904976 4121976496 6127809952 8243952992 31875056881 63750113762 127500227524 255000455048 350625625691 510000910096 701251251382 1020001820192 1402502502764 2805005005528 5610010011056 11220020022112