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201011222011110 = 23573742976020519
BaseRepresentation
bin101101101101000110010010…
…011110111101110011100110
3222100201111002200020201021120
4231231012102132331303212
5202321331440313323420
61551303140334354410
760224403316510230
oct5555062236756346
9870644080221246
10201011222011110
1159059420523295
121a6653a365ba06
13882137a474c84
14378cdd060d250
151838b6aaead40
hexb6d1927bdce6

201011222011110 has 128 divisors (see below), whose sum is σ = 566378155284480. Its totient is φ = 44693243126784.

The previous prime is 201011222011109. The next prime is 201011222011157. The reversal of 201011222011110 is 11110222110102.

It is a happy number.

It is a super-2 number, since 2×2010112220111102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201011222011110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30377431 + ... + 36397949.

It is an arithmetic number, because the mean of its divisors is an integer number (4424829338160).

Almost surely, 2201011222011110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011222011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283189077642240).

201011222011110 is an abundant number, since it is smaller than the sum of its proper divisors (365366933273370).

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

201011222011110 is a wasteful number, since it uses less digits than its factorization.

201011222011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024870.

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

Adding to 201011222011110 its reverse (11110222110102), we get a palindrome (212121444121212).

The spelling of 201011222011110 in words is "two hundred one trillion, eleven billion, two hundred twenty-two million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 4297 7770 8594 12891 21485 25782 30079 42970 60158 64455 90237 128910 150395 158989 180474 300790 317978 451185 476967 794945 902370 953934 1112923 1589890 2225846 2384835 3338769 4769670 5564615 6020519 6677538 11129230 12041038 16693845 18061557 30102595 33387690 36123114 42143633 60205190 84287266 90307785 126430899 180615570 210718165 222759203 252861798 421436330 445518406 632154495 668277609 1113796015 1264308990 1336555218 1559314421 2227592030 3118628842 3341388045 4677943263 6682776090 7796572105 9355886526 15593144210 23389716315 25870170143 46779432630 51740340286 77610510429 129350850715 155221020858 181091191001 258701701430 362182382002 388052552145 543273573003 776105104290 905455955005 957196295291 1086547146006 1810911910010 1914392590582 2716367865015 2871588885873 4785981476455 5432735730030 5743177771746 6700374067037 9571962952910 13400748134074 14357944429365 20101122201111 28715888858730 33501870335185 40202244402222 67003740670370 100505611005555 201011222011110