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10012222100112 = 2435633251113963
BaseRepresentation
bin1001000110110010011011…
…1100010001001010010000
31022110011021222021021020220
42101230212330101022100
52303020012324200422
633143315031033040
72052234124442241
oct221544674211220
938404258237226
1010012222100112
1132101833a2801
121158528b0b780
135781c131461b
14268846442cc8
15125692e35e5c
hex91b26f11290

10012222100112 has 80 divisors (see below), whose sum is σ = 25919045860608. Its totient is φ = 3330425488000.

The previous prime is 10012222100071. The next prime is 10012222100161. The reversal of 10012222100112 is 21100122221001.

It is a super-3 number, since 3×100122221001123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10012222100091 and 10012222100100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87798043 + ... + 87912005.

Almost surely, 210012222100112 is an apocalyptic number.

10012222100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012222100112 is an abundant number, since it is smaller than the sum of its proper divisors (15906823760496).

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

10012222100112 is a wasteful number, since it uses less digits than its factorization.

10012222100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117788 (or 117782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012222100112 its reverse (21100122221001), we get a palindrome (31112344321113).

The spelling of 10012222100112 in words is "ten trillion, twelve billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 563 1126 1689 2252 3251 3378 4504 6502 6756 9008 9753 13004 13512 19506 26008 27024 39012 52016 78024 113963 156048 227926 341889 455852 683778 911704 1367556 1823408 1830313 2735112 3660626 5470224 5490939 7321252 10981878 14642504 21963756 29285008 43927512 64161169 87855024 128322338 192483507 256644676 370493713 384967014 513289352 740987426 769934028 1026578704 1111481139 1481974852 1539868056 2222962278 2963949704 3079736112 4445924556 5927899408 8891849112 17783698224 208587960419 417175920838 625763881257 834351841676 1251527762514 1668703683352 2503055525028 3337407366704 5006111050056 10012222100112