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112100220112110 = 23517223562159471
BaseRepresentation
bin11001011111010001011101…
…110011001000110011101110
3112200220200021002012211101020
4121133101131303020303232
5104143122222322041420
61034230044041355010
732416654646104446
oct3137213563106356
9480820232184336
10112100220112110
113279a48889660a
12106a5934a98a66
134a7200bb219c9
141d97972b8b126
15ce5eb5e08340
hex65f45dcc8cee

112100220112110 has 96 divisors (see below), whose sum is σ = 298223351258112. Its totient is φ = 26911698147840.

The previous prime is 112100220112081. The next prime is 112100220112147. The reversal of 112100220112110 is 11211022001211.

It is a happy number.

It is a super-2 number, since 2×1121002201121102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112100220112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280880326 + ... + 281279145.

It is an arithmetic number, because the mean of its divisors is an integer number (3106493242272).

Almost surely, 2112100220112110 is an apocalyptic number.

112100220112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112100220112110 is an abundant number, since it is smaller than the sum of its proper divisors (186123131146002).

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

112100220112110 is a wasteful number, since it uses less digits than its factorization.

112100220112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562159538 (or 562159521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112100220112110 its reverse (11211022001211), we get a palindrome (123311242113321).

The spelling of 112100220112110 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 289 345 391 510 578 690 782 867 1173 1445 1734 1955 2346 2890 3910 4335 5865 6647 8670 11730 13294 19941 33235 39882 66470 99705 199410 562159471 1124318942 1686478413 2810797355 3372956826 5621594710 8432392065 9556711007 12929667833 16864784130 19113422014 25859335666 28670133021 38789003499 47783555035 57340266042 64648339165 77578006998 95567110070 129296678330 143350665105 162464087119 193945017495 219804353161 286701330210 324928174238 387890034990 439608706322 487392261357 659413059483 812320435595 974784522714 1099021765805 1318826118966 1624640871190 2198043531610 2436961306785 3297065297415 3736674003737 4873922613570 6594130594830 7473348007474 11210022011211 18683370018685 22420044022422 37366740037370 56050110056055 112100220112110