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112122133032132 = 2232194715123097259
BaseRepresentation
bin11001011111100101110111…
…111010010010110011000100
3112200222202211020020111120200
4121133211313322102303010
5104144002112024012012
61034244110303330500
732421361656621606
oct3137456772226304
9480882736214520
10112122133032132
11327a8803095773
12106aa02b5b0a30
134a740c1904b82
141d98a51141176
15ce6849a853dc
hex65f977e92cc4

112122133032132 has 144 divisors (see below), whose sum is σ = 306702048307200. Its totient is φ = 34424153323200.

The previous prime is 112122133032127. The next prime is 112122133032139. The reversal of 112122133032132 is 231230331221211.

112122133032132 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 2 + 1 + 330 + 321 + 3 + 2 = 666.

It is a super-2 number, since 2×1121221330321322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112122133032096 and 112122133032105.

It is not an unprimeable number, because it can be changed into a prime (112122133032139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6694282 + ... + 16402977.

Almost surely, 2112122133032132 is an apocalyptic number.

112122133032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112122133032132 is an abundant number, since it is smaller than the sum of its proper divisors (194579915275068).

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

112122133032132 is a wasteful number, since it uses less digits than its factorization.

112122133032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23097486 (or 23097481 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 112122133032132 its reverse (231230331221211), we get a palindrome (343352464253343).

The spelling of 112122133032132 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred thirty-three million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 151 171 188 228 282 302 342 423 453 564 604 684 846 893 906 1359 1692 1786 1812 2679 2718 2869 3572 5358 5436 5738 7097 8037 8607 10716 11476 14194 16074 17214 21291 25821 28388 32148 34428 42582 51642 63873 85164 103284 127746 134843 255492 269686 404529 539372 809058 1213587 1618116 2427174 4854348 23097259 46194518 69291777 92389036 138583554 207875331 277167108 415750662 438847921 831501324 877695842 1085571173 1316543763 1755391684 2171142346 2633087526 3256713519 3487686109 3949631289 4342284692 5266175052 6513427038 6975372218 7899262578 9770140557 10463058327 13026854076 13950744436 15798525156 19540281114 20625852287 20926116654 31389174981 39080562228 41251704574 41852233308 61877556861 62778349962 66266036071 82503409148 123755113722 125556699924 132532072142 163921247123 185632670583 198798108213 247510227444 265064144284 327842494246 371265341166 397596216426 491763741369 596394324639 655684988492 742530682332 795192432852 983527482738 1192788649278 1475291224107 1967054965476 2385577298556 2950582448214 3114503695337 5901164896428 6229007390674 9343511086011 12458014781348 18687022172022 28030533258033 37374044344044 56061066516066 112122133032132