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21530354420204 = 2275346135278923
BaseRepresentation
bin1001110010100111011010…
…01000001000100111101100
32211020021121102021221212122
410321103231020020213230
510310223131212421304
6113442524104252112
74351342152663230
oct471235510104754
984207542257778
1021530354420204
116950a76858613
1224b8888171038
13c023c4335516
145461090305c0
152750c20179be
hex1394ed2089ec

21530354420204 has 96 divisors (see below), whose sum is σ = 43985739764736. Its totient is φ = 9029983322880.

The previous prime is 21530354420173. The next prime is 21530354420209. The reversal of 21530354420204 is 40202445303512.

It is a happy number.

It is a super-2 number, since 2×215303544202042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21530354420209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412900887 + ... + 2412909809.

It is an arithmetic number, because the mean of its divisors is an integer number (458184789216).

Almost surely, 221530354420204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21530354420204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992869882368).

21530354420204 is an abundant number, since it is smaller than the sum of its proper divisors (22455385344532).

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

21530354420204 is a wasteful number, since it uses less digits than its factorization.

21530354420204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 21530354420204 its reverse (40202445303512), we get a palindrome (61732799723716).

The spelling of 21530354420204 in words is "twenty-one trillion, five hundred thirty billion, three hundred fifty-four million, four hundred twenty thousand, two hundred four".

Divisors: 1 2 4 7 14 28 53 106 212 371 461 742 922 1484 1844 3227 3527 6454 7054 8923 12908 14108 17846 24433 24689 35692 48866 49378 62461 97732 98756 124922 171031 186931 249844 342062 373862 472919 684124 747724 945838 1308517 1625947 1891676 2617034 3251894 3310433 4113503 5234068 6503788 6620866 8227006 11381629 13241732 16454012 22763258 28794521 31471421 45526516 57589042 62942842 86175191 115178084 125885684 172350382 218015659 220299947 344700764 436031318 440599894 603226337 872062636 881199788 1206452674 1526109613 1667985313 2412905348 3052219226 3335970626 6104438452 6671941252 11675897191 14508325081 23351794382 29016650162 46703588764 58033300324 101558275567 203116551134 406233102268 768941229293 1537882458586 3075764917172 5382588605051 10765177210102 21530354420204