Search a number
-
+
112111311211000 = 2353379346185469
BaseRepresentation
bin11001011111011011110010…
…111000010100100111111000
3112200221201220001002000210121
4121133123302320110213320
5104143312431132223000
61034235120402223024
732420526542640643
oct3137336270244770
9480851801060717
10112111311211000
11327a415a496342
12106a7b0b354a74
134a7308889450a
141d98305bb2a5a
15ce641498eb1a
hex65f6f2e149f8

112111311211000 has 128 divisors (see below), whose sum is σ = 263111736888000. Its totient is φ = 44712755136000.

The previous prime is 112111311210959. The next prime is 112111311211087. The reversal of 112111311211000 is 112113111211.

It is a super-2 number, since 2×1121113112110002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311676266 + ... + 1311761734.

Almost surely, 2112111311211000 is an apocalyptic number.

112111311211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111311211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131555868444000).

112111311211000 is an abundant number, since it is smaller than the sum of its proper divisors (151000425677000).

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

112111311211000 is a wasteful number, since it uses less digits than its factorization.

112111311211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89330 (or 89316 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 112111311211000 its reverse (112113111211), we get a palindrome (112223424322211).

The spelling of 112111311211000 in words is "one hundred twelve trillion, one hundred eleven billion, three hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 379 500 758 1000 1516 1895 3032 3461 3790 6922 7580 9475 13844 15160 17305 18950 27688 34610 37900 47375 69220 75800 85469 86525 94750 138440 170938 173050 189500 341876 346100 379000 427345 432625 683752 692200 854690 865250 1311719 1709380 1730500 2136725 2623438 3418760 3461000 4273450 5246876 6558595 8546900 10493752 10683625 13117190 17093800 21367250 26234380 32392751 32792975 42734500 52468760 64785502 65585950 85469000 129571004 131171900 161963755 163964875 259142008 262343800 295808209 323927510 327929750 591616418 647855020 655859500 809818775 1183232836 1295710040 1311719000 1479041045 1619637550 2366465672 2958082090 3239275100 4049093875 5916164180 6478550200 7395205225 8098187750 11832328360 14790410450 16196375500 29580820900 32392751000 36976026125 59161641800 73952052250 112111311211 147904104500 224222622422 295808209000 448445244844 560556556055 896890489688 1121113112110 2242226224220 2802782780275 4484452448440 5605565560550 11211131121100 14013913901375 22422262242200 28027827802750 56055655605500 112111311211000