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21121202133330 = 2351397966157791
BaseRepresentation
bin1001100110101101010011…
…10000000001100101010010
32202210011111220002020112220
410303112221300001211102
510232022210221231310
6112530540223001510
74306646035635135
oct463265160014522
982704456066486
1021121202133330
1168034a6a80672
12245151ba39296
13ba294a827120
145303b353421c
15269626db0670
hex1335a9c01952

21121202133330 has 128 divisors (see below), whose sum is σ = 55159632654336. Its totient is φ = 5144844902400.

The previous prime is 21121202133287. The next prime is 21121202133331. The reversal of 21121202133330 is 3333120212112.

It is a super-2 number, since 2×211212021333302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21121202133330.

It is not an unprimeable number, because it can be changed into a prime (21121202133331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365446735 + ... + 365504525.

It is an arithmetic number, because the mean of its divisors is an integer number (430934630112).

Almost surely, 221121202133330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121202133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27579816327168).

21121202133330 is an abundant number, since it is smaller than the sum of its proper divisors (34038430521006).

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

21121202133330 is a wasteful number, since it uses less digits than its factorization.

21121202133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67572.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21121202133330 its reverse (3333120212112), we get a palindrome (24454322345442).

The spelling of 21121202133330 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred two million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 2522 2910 3783 6305 7566 9661 12610 18915 19322 28983 37830 48305 57791 57966 96610 115582 125593 144915 173373 251186 288955 289830 346746 376779 577910 627965 751283 753558 866865 937117 1255930 1502566 1733730 1874234 1883895 2253849 2811351 3756415 3767790 4507698 4685585 5605727 5622702 7512830 9371170 11211454 11269245 12182521 14056755 16817181 22538490 24365042 28028635 28113510 33634362 36547563 56057270 60912605 72874451 73095126 84085905 121825210 145748902 168171810 182737815 218623353 364372255 365475630 437246706 558318851 728744510 1093116765 1116637702 1674956553 2186233530 2791594255 3349913106 5583188510 7258145063 8374782765 14516290126 16749565530 21774435189 36290725315 43548870378 54156928547 72581450630 108313857094 108872175945 162470785641 217744351890 270784642735 324941571282 541569285470 704040071111 812353928205 1408080142222 1624707856410 2112120213333 3520200355555 4224240426666 7040400711110 10560601066665 21121202133330