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210122110200112 = 241123129140207309
BaseRepresentation
bin101111110001101011011101…
…101111001110100100110000
31000112222110220010202012020221
4233301223131233032210300
5210020120040202400422
62022520433111542424
762154551525363335
oct5761533557164460
91015873803665227
10210122110200112
1160a51317377020
121b6970a568aa14
139032578851286
1439c5d7043c98c
151945b593673c7
hexbf1addbce930

210122110200112 has 80 divisors (see below), whose sum is σ = 463790355874560. Its totient is φ = 91286672083200.

The previous prime is 210122110200097. The next prime is 210122110200127. The reversal of 210122110200112 is 211002011221012.

It is an interprime number because it is at equal distance from previous prime (210122110200097) and next prime (210122110200127).

It is a super-2 number, since 2×2101221102001122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14877687 + ... + 25329622.

It is an arithmetic number, because the mean of its divisors is an integer number (5797379448432).

Almost surely, 2210122110200112 is an apocalyptic number.

210122110200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210122110200112 is an abundant number, since it is smaller than the sum of its proper divisors (253668245674448).

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

210122110200112 is a wasteful number, since it uses less digits than its factorization.

210122110200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40208642 (or 40208636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210122110200112 its reverse (211002011221012), we get a palindrome (421124121421124).

The spelling of 210122110200112 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1291 2024 2582 4048 5164 10328 14201 20656 28402 29693 56804 59386 113608 118772 227216 237544 326623 475088 653246 1306492 2612984 5225968 40207309 80414618 160829236 321658472 442280399 643316944 884560798 924768107 1769121596 1849536214 3538243192 3699072428 7076486384 7398144856 10172449177 14796289712 20344898354 40689796708 51907635919 81379593416 103815271838 162759186832 207630543676 415261087352 570983995109 830522174704 1141967990218 1193875626137 2283935980436 2387751252274 4567871960872 4775502504548 9135743921744 9551005009096 13132631887507 19102010018192 26265263775014 52530527550028 105061055100056 210122110200112