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11020101112212 = 22329311847553067
BaseRepresentation
bin1010000001011101000100…
…1101100101000110010100
31110000111210210102222102220
42200113101031211012110
52421023131341042322
635234321540102340
72215114243624113
oct240272115450624
943014723388386
1011020101112212
11356966486a045
12129b9296949b0
1361c263a417aa
142a153905bc7a
151419d124955c
hexa05d1365194

11020101112212 has 96 divisors (see below), whose sum is σ = 27473232568320. Its totient is φ = 3430425048960.

The previous prime is 11020101112127. The next prime is 11020101112259. The reversal of 11020101112212 is 21221110102011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11020101112191 and 11020101112200.

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, 19648903 + ... + 20201969.

It is an arithmetic number, because the mean of its divisors is an integer number (286179505920).

Almost surely, 211020101112212 is an apocalyptic number.

11020101112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020101112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736616284160).

11020101112212 is an abundant number, since it is smaller than the sum of its proper divisors (16453131456108).

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

11020101112212 is a wasteful number, since it uses less digits than its factorization.

11020101112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554981 (or 554979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11020101112212 its reverse (21221110102011), we get a palindrome (32241211214223).

The spelling of 11020101112212 in words is "eleven trillion, twenty billion, one hundred one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 1847 2697 3596 3694 5394 5541 7388 10788 11082 22164 53563 57257 107126 114514 160689 171771 214252 229028 321378 343542 553067 642756 687084 1106134 1659201 1660453 2212268 3318402 3320906 4981359 6636804 6641812 9962718 16038943 17145077 19925436 32077886 34290154 48116829 51435231 64155772 68580308 96233658 102870462 192467316 205740924 497207233 994414466 1021514749 1491621699 1988828932 2043029498 2983243398 3064544247 4086058996 5966486796 6129088494 12258176988 29623927721 31666957219 59247855442 63333914438 88871783163 95000871657 118495710884 126667828876 177743566326 190001743314 355487132652 380003486628 918341759351 1836683518702 2755025278053 3673367037404 5510050556106 11020101112212