Search a number
-
+
112211020122012 = 223274013110959837
BaseRepresentation
bin11001100000111000101001…
…111111101000011110011100
3112201022021020220222112000200
4121200320221333220132130
5104201431132122401022
61034353010410223500
732430656453462340
oct3140705177503634
9481267226875020
10112211020122012
1132832476583a29
12107032b7724b90
134a7c5b8ca6146
141d9d0842dd620
15ce8ced37abac
hex660e29fe879c

112211020122012 has 72 divisors (see below), whose sum is σ = 324245950924896. Its totient is φ = 32052302066304.

The previous prime is 112211020121957. The next prime is 112211020122029. The reversal of 112211020122012 is 210221020112211.

112211020122012 is a `hidden beast` number, since 1 + 1 + 221 + 10 + 201 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54468643 + ... + 56491194.

It is an arithmetic number, because the mean of its divisors is an integer number (4503415985068).

Almost surely, 2112211020122012 is an apocalyptic number.

112211020122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112211020122012 is an abundant number, since it is smaller than the sum of its proper divisors (212034930802884).

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

112211020122012 is a wasteful number, since it uses less digits than its factorization.

112211020122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110963867 (or 110963862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211020122012 its reverse (210221020112211), we get a palindrome (322432040234223).

The spelling of 112211020122012 in words is "one hundred twelve trillion, two hundred eleven billion, twenty million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4013 8026 12039 16052 24078 28091 36117 48156 56182 72234 84273 112364 144468 168546 252819 337092 505638 1011276 110959837 221919674 332879511 443839348 665759022 776718859 998638533 1331518044 1553437718 1997277066 2330156577 3106875436 3994554132 4660313154 6990469731 9320626308 13980939462 27961878924 445281825881 890563651762 1335845477643 1781127303524 2671690955286 3116972781167 4007536432929 5343381910572 6233945562334 8015072865858 9350918343501 12467891124668 16030145731716 18701836687002 28052755030503 37403673374004 56105510061006 112211020122012