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21210122200122 = 2331721578656691
BaseRepresentation
bin1001101001010010111011…
…10011001010010000111010
32210002200000212212122211000
410310221131303022100322
510240001312240400442
6113035443504345430
74316244413013312
oct464513563122072
983080025778730
1021210122200122
116838187042979
1224667b7015276
13bab14b9a336b
1453480ac38442
1526bacd51bd4c
hex134a5dcca43a

21210122200122 has 96 divisors (see below), whose sum is σ = 50388180258240. Its totient is φ = 6611772061440.

The previous prime is 21210122200097. The next prime is 21210122200123. The reversal of 21210122200122 is 22100222101212.

It is a happy number.

21210122200122 is a `hidden beast` number, since 212 + 10 + 122 + 200 + 122 = 666.

It is a super-3 number, since 3×212101222001223 (a number of 41 digits) contains 333 as substring.

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 = 21210122200095 and 21210122200104.

It is not an unprimeable number, because it can be changed into a prime (21210122200123) 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, 1878204 + ... + 6778487.

It is an arithmetic number, because the mean of its divisors is an integer number (524876877690).

Almost surely, 221210122200122 is an apocalyptic number.

21210122200122 is an abundant number, since it is smaller than the sum of its proper divisors (29178058058118).

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

21210122200122 is a wasteful number, since it uses less digits than its factorization.

21210122200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656893 (or 8656870 counting only the distinct ones).

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

Adding to 21210122200122 its reverse (22100222101212), we get a palindrome (43310344301334).

The spelling of 21210122200122 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 157 289 306 314 459 471 578 867 918 942 1413 1734 2601 2669 2826 4239 5202 5338 7803 8007 8478 15606 16014 24021 45373 48042 72063 90746 136119 144126 272238 408357 816714 1225071 2450142 8656691 17313382 25970073 51940146 77910219 147163747 155820438 233730657 294327494 441491241 467461314 882982482 1324473723 1359100487 2501783699 2648947446 2718200974 3973421169 4077301461 5003567398 7505351097 7946842338 8154602922 12231904383 15010702194 22516053291 23104708279 24463808766 36695713149 45032106582 46209416558 67548159873 69314124837 73391426298 135096319746 138628249674 207942374511 392780040743 415884749022 623827123533 785560081486 1178340122229 1247654247066 2356680244458 3535020366687 7070040733374 10605061100061 21210122200122