Search a number
-
+
21532023130331 = 7311735639531069
BaseRepresentation
bin1001110010101010100001…
…00101110000100011011011
32211020102220201021012211102
410321111100211300203123
510310240040410132311
6113443401434422015
74351431414535310
oct471252045604333
984212821235742
1021532023130331
11695175279a19a
1224b9072b9190b
13c025cbc7796c
145462268ccd07
1527516d78a43b
hex1395509708db

21532023130331 has 64 divisors (see below), whose sum is σ = 25644868116480. Its totient is φ = 17690718366720.

The previous prime is 21532023130273. The next prime is 21532023130349. The reversal of 21532023130331 is 13303132023512.

It is a de Polignac number, because none of the positive numbers 2k-21532023130331 is a prime.

It is a super-2 number, since 2×215320231303312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21532023130294 and 21532023130303.

It is not an unprimeable number, because it can be changed into a prime (21532023130361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20142210065 + ... + 20142211133.

It is an arithmetic number, because the mean of its divisors is an integer number (400701064320).

Almost surely, 221532023130331 is an apocalyptic number.

21532023130331 is a deficient number, since it is larger than the sum of its proper divisors (4112844986149).

21532023130331 is a wasteful number, since it uses less digits than its factorization.

21532023130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796.

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 21532023130331 its reverse (13303132023512), we get a palindrome (34835155153843).

The spelling of 21532023130331 in words is "twenty-one trillion, five hundred thirty-two billion, twenty-three million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 31 173 217 563 953 1069 1211 3941 5363 6671 7483 17453 29543 33139 37541 97399 122171 164869 184937 206801 231973 536539 601847 681793 1018757 1154083 1294559 3019369 3755773 4212929 5110939 5733047 7131299 16632709 18657257 21135583 31581467 35776573 40131329 92821247 104119531 116428963 130600799 176244961 221070269 573560191 649748729 728836717 1233714727 2877458657 3227705461 4014921337 5463593791 17780365921 20142210599 22593938227 38245156537 99225913043 124462561447 694581391301 3076003304333 21532023130331