Search a number
-
+
112121000011110 = 235176121193170057
BaseRepresentation
bin11001011111100100110100…
…011000001010010101100110
3112200222122220021021001221010
4121133210310120022111212
5104143442302000323420
61034243402031003050
732421321621245406
oct3137446430122546
9480878807231833
10112121000011110
11327a8281577262
12106a9974069486
134a73c70c6212c
141d98984888806
15ce67d037a4e0
hex65f93460a566

112121000011110 has 128 divisors (see below), whose sum is σ = 289605421816704. Its totient is φ = 27677389455360.

The previous prime is 112121000011061. The next prime is 112121000011157. The reversal of 112121000011110 is 11110000121211.

It is a super-2 number, since 2×1121210000111102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659229202 + ... + 659399258.

It is an arithmetic number, because the mean of its divisors is an integer number (2262542357943).

Almost surely, 2112121000011110 is an apocalyptic number.

112121000011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121000011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144802710908352).

112121000011110 is an abundant number, since it is smaller than the sum of its proper divisors (177484421805594).

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

112121000011110 is a wasteful number, since it uses less digits than its factorization.

112121000011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191338.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112121000011110 its reverse (11110000121211), we get a palindrome (123231000132321).

The spelling of 112121000011110 in words is "one hundred twelve trillion, one hundred twenty-one billion, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 915 1037 1830 2074 3111 5185 6222 10370 15555 21193 31110 42386 63579 105965 127158 170057 211930 317895 340114 360281 510171 635790 720562 850285 1020342 1080843 1292773 1700570 1801405 2161686 2550855 2585546 2890969 3602810 3878319 5101710 5404215 5781938 6463865 7756638 8672907 10373477 10808430 12927730 14454845 17345814 19391595 20746954 21977141 28909690 31120431 38783190 43364535 43954282 51867385 62240862 65931423 86729070 103734770 109885705 131862846 155602155 176349109 219771410 311204310 329657115 352698218 529047327 659314230 881745545 1058094654 1763491090 2645236635 3604018001 5290473270 7208036002 10812054003 18020090005 21624108006 36040180010 54060270015 61268306017 108120540030 122536612034 183804918051 219845098061 306341530085 367609836102 439690196122 612683060170 659535294183 919024590255 1099225490305 1319070588366 1838049180510 2198450980610 3297676470915 3737366667037 6595352941830 7474733334074 11212100001111 18686833335185 22424200002222 37373666670370 56060500005555 112121000011110