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110222021012220 = 2232513232047975121
BaseRepresentation
bin11001000011111100010000…
…011010001010101011111100
3112110021010022011020210102200
4121003330100122022223330
5103421334144334342340
61030231144124351500
732134164301135425
oct3103742032125374
9473233264223380
10110222021012220
1132135995419847
12104419239a5590
134966b798bb680
141d30aba8b264c
15cb21db066330
hex643f1068aafc

110222021012220 has 144 divisors (see below), whose sum is σ = 375713323981632. Its totient is φ = 25951940720640.

The previous prime is 110222021012219. The next prime is 110222021012231. The reversal of 110222021012220 is 22210120222011.

It is a happy number.

110222021012220 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 220 + 210 + 12 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110222021012193 and 110222021012202.

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 47 ways as a sum of consecutive naturals, for example, 1023933741 + ... + 1024041380.

It is an arithmetic number, because the mean of its divisors is an integer number (2609120305428).

Almost surely, 2110222021012220 is an apocalyptic number.

110222021012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110222021012220 is an abundant number, since it is smaller than the sum of its proper divisors (265491302969412).

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

110222021012220 is a wasteful number, since it uses less digits than its factorization.

110222021012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047975172 (or 2047975167 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110222021012220 its reverse (22210120222011), we get a palindrome (132432141234231).

The spelling of 110222021012220 in words is "one hundred ten trillion, two hundred twenty-two billion, twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 2047975121 4095950242 6143925363 8191900484 10239875605 12287850726 18431776089 20479751210 24575701452 26623676573 30719626815 36863552178 40959502420 47103427783 53247353146 61439253630 73727104356 79871029719 92158880445 94206855566 106494706292 122878507260 133118382865 141310283349 159742059438 184317760890 188413711132 235517138915 239613089157 266236765730 282620566698 319484118876 368635521780 399355148595 423930850047 471034277830 479226178314 532473531460 565241133396 612344561179 706551416745 798710297190 847861700094 942068555660 958452356628 1198065445785 1224689122358 1413102833490 1597420594380 1695723400188 1837033683537 2119654250235 2396130891570 2449378244716 2826205666980 3061722805895 3674067367074 4239308500470 4792261783140 5511101050611 6123445611790 7348134734148 8478617000940 9185168417685 11022202101222 12246891223580 18370336835370 22044404202444 27555505253055 36740673670740 55111010506110 110222021012220