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10010001222111 = 31141532233072039
BaseRepresentation
bin1001000110101010001010…
…0100010010100111011111
31022102221120012021222101010
42101222202210102213133
52303000440303101421
633142310413550303
72052125106336252
oct221524244224737
938387505258333
1010010001222111
11320a243803240
1211580091a5393
13577c29183027
142686b54cd099
151255b2e93076
hex91aa29129df

10010001222111 has 128 divisors (see below), whose sum is σ = 15321919979520. Its totient is φ = 5759329305600.

The previous prime is 10010001222071. The next prime is 10010001222157. The reversal of 10010001222111 is 11122210001001.

It is not a de Polignac number, because 10010001222111 - 215 = 10010001189343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001222911) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4909268830 + ... + 4909270868.

It is an arithmetic number, because the mean of its divisors is an integer number (119702499840).

Almost surely, 210010001222111 is an apocalyptic number.

10010001222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010001222111 is a deficient number, since it is larger than the sum of its proper divisors (5311918757409).

10010001222111 is a wasteful number, since it uses less digits than its factorization.

10010001222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010001222111 its reverse (11122210001001), we get a palindrome (21132211223112).

The spelling of 10010001222111 in words is "ten trillion, ten billion, one million, two hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 11 33 41 53 123 159 223 307 451 583 669 921 1353 1749 2039 2173 2453 3377 6117 6519 7359 9143 10131 11819 12587 16271 22429 23903 27429 35457 37761 48813 67287 68461 71709 83599 100573 108067 130009 138457 178981 205383 250797 301719 324201 390027 415371 454697 484579 536943 625973 667111 753071 919589 1188737 1364091 1453737 1877919 2001333 2259213 2758767 2806901 3566211 3628433 4430747 5001667 5330369 6885703 7338221 8420703 10885299 13292241 15005001 15991107 18642577 20657109 22014663 24098941 25664893 30875911 33176569 39912763 48738217 55927731 72296823 76994679 92627733 99529707 119738289 139591979 146214651 148765753 205068347 265088351 282313823 364942259 418775937 446297259 615205041 795265053 846941469 988056581 1094826777 1360239329 1535511769 1636423283 2964169743 4080717987 4606535307 4909269849 5723271139 7398374887 10868622391 14962632619 17169813417 22195124661 32605867173 44887897857 62955982529 81382123757 188867947587 244146371271 303333370367 910000111101 3336667074037 10010001222111