Search a number
-
+
21020212122 = 23713172133213
BaseRepresentation
bin10011100100111001…
…101111101110011010
32000020221020102011220
4103210321233232122
5321022133241442
613353452032510
71342620566160
oct234471575632
960227212156
1021020212122
118a073a8538
1240a7762736
131c9cb70950
1410359b5230
158305e0eec
hex4e4e6fb9a

21020212122 has 96 divisors (see below), whose sum is σ = 54965162112. Its totient is φ = 5217647616.

The previous prime is 21020212121. The next prime is 21020212159. The reversal of 21020212122 is 22121202012.

It is not an unprimeable number, because it can be changed into a prime (21020212121) 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, 91188 + ... + 224400.

It is an arithmetic number, because the mean of its divisors is an integer number (572553772).

Almost surely, 221020212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27482581056).

21020212122 is an abundant number, since it is smaller than the sum of its proper divisors (33944949990).

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

21020212122 is a wasteful number, since it uses less digits than its factorization.

21020212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133272 (or 133255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21020212122 its reverse (22121202012), we get a palindrome (43141414134).

The spelling of 21020212122 in words is "twenty-one billion, twenty million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 289 357 442 546 578 663 714 867 1326 1547 1734 2023 3094 3757 4046 4641 6069 7514 9282 11271 12138 22542 26299 52598 78897 133213 157794 266426 399639 799278 932491 1731769 1864982 2264621 2797473 3463538 4529242 5195307 5594946 6793863 10390614 12122383 13587726 15852347 24244766 29440073 31704694 36367149 38498557 47557041 58880146 72734298 76997114 88320219 95114082 115495671 176640438 206080511 230991342 269489899 412161022 500481241 538979798 618241533 808469697 1000962482 1236483066 1501443723 1616939394 3002887446 3503368687 7006737374 10510106061 21020212122