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21201021222210 = 23351013172452519
BaseRepresentation
bin1001101001000001111110…
…10101101011110101000010
32210001210112121210002011000
410310200333111223311002
510234324142413102320
6113031340435032430
74315503032665104
oct464407725536502
983053477702130
1021201021222210
116834336852525
122464a9713b716
13baa32b32942b
145341c6259574
1526b749545c90
hex13483f56bd42

21201021222210 has 128 divisors (see below), whose sum is σ = 57275955878400. Its totient is φ = 5579968953600.

The previous prime is 21201021222169. The next prime is 21201021222217. The reversal of 21201021222210 is 1222212010212.

It is a happy number.

21201021222210 is a `hidden beast` number, since 21 + 201 + 0 + 212 + 22 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21201021222217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7418331 + ... + 9870849.

It is an arithmetic number, because the mean of its divisors is an integer number (447468405300).

Almost surely, 221201021222210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201021222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28637977939200).

21201021222210 is an abundant number, since it is smaller than the sum of its proper divisors (36074934656190).

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

21201021222210 is a wasteful number, since it uses less digits than its factorization.

21201021222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452953 (or 2452947 counting only the distinct ones).

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

Adding to 21201021222210 its reverse (1222212010212), we get a palindrome (22423233232422).

The spelling of 21201021222210 in words is "twenty-one trillion, two hundred one billion, twenty-one million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 317 505 606 634 909 951 1010 1515 1585 1818 1902 2727 2853 3030 3170 4545 4755 5454 5706 8559 9090 9510 13635 14265 17118 27270 28530 32017 42795 64034 85590 96051 160085 192102 288153 320170 480255 576306 864459 960510 1440765 1728918 2452519 2881530 4322295 4905038 7357557 8644590 12262595 14715114 22072671 24525190 36787785 44145342 66218013 73575570 110363355 132436026 220726710 247704419 331090065 495408838 662180130 743113257 777448523 1238522095 1486226514 1554897046 2229339771 2332345569 2477044190 3715566285 3887242615 4458679542 4664691138 6688019313 6997036707 7431132570 7774485230 11146698855 11661727845 13376038626 13994073414 20991110121 22293397710 23323455690 33440096565 34985183535 41982220242 66880193130 69970367070 78522300823 104955550605 157044601646 209911101210 235566902469 392611504115 471133804938 706700707407 785223008230 1177834512345 1413401414814 2120102122221 2355669024690 3533503537035 4240204244442 7067007074070 10600510611105 21201021222210